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Finding the Fourth Proportional to 16,507.62, 22,780.11 and 9,433.62

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Solution

The fourth proportional to 16,507.62, 22,780.11 and 9,433.62 is: 13,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.62 : 22,780.11 = 9,433.62 : x
  2. Step 2: Convert to fraction form
    16,507.62/22,780.11 = 9,433.62/x
  3. Step 3: Cross multiply
    16,507.62x = 22,780.11 × 9,433.62
  4. Step 4: Simplify right side
    16,507.62x = 214,898,901.30
  5. Step 5: Solve for x
    x = 214,898,901.30/16,507.62
  6. Step 6: Final answer
    x = 13,018.16

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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.