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Finding the Fourth Proportional to 13,830.52, 20,740.99 and 8,557.47

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Solution

The fourth proportional to 13,830.52, 20,740.99 and 8,557.47 is: 12,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.52 : 20,740.99 = 8,557.47 : x
  2. Step 2: Convert to fraction form
    13,830.52/20,740.99 = 8,557.47/x
  3. Step 3: Cross multiply
    13,830.52x = 20,740.99 × 8,557.47
  4. Step 4: Simplify right side
    13,830.52x = 177,490,428.61
  5. Step 5: Solve for x
    x = 177,490,428.61/13,830.52
  6. Step 6: Final answer
    x = 12,833.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.