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Finding the Fourth Proportional to 16,470.86, 24,675.28 and 8,141.12

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Solution

The fourth proportional to 16,470.86, 24,675.28 and 8,141.12 is: 12,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.86 : 24,675.28 = 8,141.12 : x
  2. Step 2: Convert to fraction form
    16,470.86/24,675.28 = 8,141.12/x
  3. Step 3: Cross multiply
    16,470.86x = 24,675.28 × 8,141.12
  4. Step 4: Simplify right side
    16,470.86x = 200,884,410.11
  5. Step 5: Solve for x
    x = 200,884,410.11/16,470.86
  6. Step 6: Final answer
    x = 12,196.36

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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.