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Finding the Fourth Proportional to 16,509.71, 22,777.85 and 9,431.12

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Solution

The fourth proportional to 16,509.71, 22,777.85 and 9,431.12 is: 13,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.71 : 22,777.85 = 9,431.12 : x
  2. Step 2: Convert to fraction form
    16,509.71/22,777.85 = 9,431.12/x
  3. Step 3: Cross multiply
    16,509.71x = 22,777.85 × 9,431.12
  4. Step 4: Simplify right side
    16,509.71x = 214,820,475.65
  5. Step 5: Solve for x
    x = 214,820,475.65/16,509.71
  6. Step 6: Final answer
    x = 13,011.77

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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.