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Finding the Fourth Proportional to 16,454.28, 22,706.91 and 9,285.71

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Solution

The fourth proportional to 16,454.28, 22,706.91 and 9,285.71 is: 12,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.28 : 22,706.91 = 9,285.71 : x
  2. Step 2: Convert to fraction form
    16,454.28/22,706.91 = 9,285.71/x
  3. Step 3: Cross multiply
    16,454.28x = 22,706.91 × 9,285.71
  4. Step 4: Simplify right side
    16,454.28x = 210,849,831.59
  5. Step 5: Solve for x
    x = 210,849,831.59/16,454.28
  6. Step 6: Final answer
    x = 12,814.28

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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.