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Finding the Fourth Proportional to 16,487.93, 22,761.22 and 9,412.98

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Solution

The fourth proportional to 16,487.93, 22,761.22 and 9,412.98 is: 12,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.93 : 22,761.22 = 9,412.98 : x
  2. Step 2: Convert to fraction form
    16,487.93/22,761.22 = 9,412.98/x
  3. Step 3: Cross multiply
    16,487.93x = 22,761.22 × 9,412.98
  4. Step 4: Simplify right side
    16,487.93x = 214,250,908.64
  5. Step 5: Solve for x
    x = 214,250,908.64/16,487.93
  6. Step 6: Final answer
    x = 12,994.41

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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.