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Finding the Fourth Proportional to 16,148.30, 24,227.05 and 6,290.40

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Solution

The fourth proportional to 16,148.30, 24,227.05 and 6,290.40 is: 9,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.30 : 24,227.05 = 6,290.40 : x
  2. Step 2: Convert to fraction form
    16,148.30/24,227.05 = 6,290.40/x
  3. Step 3: Cross multiply
    16,148.30x = 24,227.05 × 6,290.40
  4. Step 4: Simplify right side
    16,148.30x = 152,397,819.59
  5. Step 5: Solve for x
    x = 152,397,819.59/16,148.30
  6. Step 6: Final answer
    x = 9,437.39

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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.