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Finding the Fourth Proportional to 16,584.72, 22,887 and 9,512.88

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Solution

The fourth proportional to 16,584.72, 22,887 and 9,512.88 is: 13,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.72 : 22,887 = 9,512.88 : x
  2. Step 2: Convert to fraction form
    16,584.72/22,887 = 9,512.88/x
  3. Step 3: Cross multiply
    16,584.72x = 22,887 × 9,512.88
  4. Step 4: Simplify right side
    16,584.72x = 217,721,284.56
  5. Step 5: Solve for x
    x = 217,721,284.56/16,584.72
  6. Step 6: Final answer
    x = 13,127.82

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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.