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Finding the Fourth Proportional to 16,456.13, 22,709.46 and 9,004.13

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Solution

The fourth proportional to 16,456.13, 22,709.46 and 9,004.13 is: 12,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.13 : 22,709.46 = 9,004.13 : x
  2. Step 2: Convert to fraction form
    16,456.13/22,709.46 = 9,004.13/x
  3. Step 3: Cross multiply
    16,456.13x = 22,709.46 × 9,004.13
  4. Step 4: Simplify right side
    16,456.13x = 204,478,816.52
  5. Step 5: Solve for x
    x = 204,478,816.52/16,456.13
  6. Step 6: Final answer
    x = 12,425.70

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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.