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Finding the Fourth Proportional to 16,909.47, 25,342.62 and 8,024.78

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Solution

The fourth proportional to 16,909.47, 25,342.62 and 8,024.78 is: 12,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.47 : 25,342.62 = 8,024.78 : x
  2. Step 2: Convert to fraction form
    16,909.47/25,342.62 = 8,024.78/x
  3. Step 3: Cross multiply
    16,909.47x = 25,342.62 × 8,024.78
  4. Step 4: Simplify right side
    16,909.47x = 203,368,950.12
  5. Step 5: Solve for x
    x = 203,368,950.12/16,909.47
  6. Step 6: Final answer
    x = 12,026.93

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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.