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Finding the Fourth Proportional to 16,454.81, 22,707.49 and 9,284.78

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Solution

The fourth proportional to 16,454.81, 22,707.49 and 9,284.78 is: 12,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.81 : 22,707.49 = 9,284.78 : x
  2. Step 2: Convert to fraction form
    16,454.81/22,707.49 = 9,284.78/x
  3. Step 3: Cross multiply
    16,454.81x = 22,707.49 × 9,284.78
  4. Step 4: Simplify right side
    16,454.81x = 210,833,947.07
  5. Step 5: Solve for x
    x = 210,833,947.07/16,454.81
  6. Step 6: Final answer
    x = 12,812.91

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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.