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Finding the Fourth Proportional to 14,557.46, 20,088.42 and 8,591

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Solution

The fourth proportional to 14,557.46, 20,088.42 and 8,591 is: 11,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.46 : 20,088.42 = 8,591 : x
  2. Step 2: Convert to fraction form
    14,557.46/20,088.42 = 8,591/x
  3. Step 3: Cross multiply
    14,557.46x = 20,088.42 × 8,591
  4. Step 4: Simplify right side
    14,557.46x = 172,579,616.22
  5. Step 5: Solve for x
    x = 172,579,616.22/14,557.46
  6. Step 6: Final answer
    x = 11,855.06

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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.