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Finding the Fourth Proportional to 16,337.76, 22,549.86 and 9,966.54

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Solution

The fourth proportional to 16,337.76, 22,549.86 and 9,966.54 is: 13,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.76 : 22,549.86 = 9,966.54 : x
  2. Step 2: Convert to fraction form
    16,337.76/22,549.86 = 9,966.54/x
  3. Step 3: Cross multiply
    16,337.76x = 22,549.86 × 9,966.54
  4. Step 4: Simplify right side
    16,337.76x = 224,744,081.68
  5. Step 5: Solve for x
    x = 224,744,081.68/16,337.76
  6. Step 6: Final answer
    x = 13,756.11

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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.