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Finding the Fourth Proportional to 15,767.46, 21,762.25 and 9,057.69

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Solution

The fourth proportional to 15,767.46, 21,762.25 and 9,057.69 is: 12,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.46 : 21,762.25 = 9,057.69 : x
  2. Step 2: Convert to fraction form
    15,767.46/21,762.25 = 9,057.69/x
  3. Step 3: Cross multiply
    15,767.46x = 21,762.25 × 9,057.69
  4. Step 4: Simplify right side
    15,767.46x = 197,115,691.56
  5. Step 5: Solve for x
    x = 197,115,691.56/15,767.46
  6. Step 6: Final answer
    x = 12,501.42

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