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Finding the Fourth Proportional to 16,446.16, 22,699.92 and 10,154.92

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Solution

The fourth proportional to 16,446.16, 22,699.92 and 10,154.92 is: 14,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.16 : 22,699.92 = 10,154.92 : x
  2. Step 2: Convert to fraction form
    16,446.16/22,699.92 = 10,154.92/x
  3. Step 3: Cross multiply
    16,446.16x = 22,699.92 × 10,154.92
  4. Step 4: Simplify right side
    16,446.16x = 230,515,871.61
  5. Step 5: Solve for x
    x = 230,515,871.61/16,446.16
  6. Step 6: Final answer
    x = 14,016.39

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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.