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Finding the Fourth Proportional to 16,381.98, 22,607.10 and 9,211.92

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Solution

The fourth proportional to 16,381.98, 22,607.10 and 9,211.92 is: 12,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.98 : 22,607.10 = 9,211.92 : x
  2. Step 2: Convert to fraction form
    16,381.98/22,607.10 = 9,211.92/x
  3. Step 3: Cross multiply
    16,381.98x = 22,607.10 × 9,211.92
  4. Step 4: Simplify right side
    16,381.98x = 208,254,796.63
  5. Step 5: Solve for x
    x = 208,254,796.63/16,381.98
  6. Step 6: Final answer
    x = 12,712.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.