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Finding the Fourth Proportional to 12,909.52, 17,815.23 and 8,430.62

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Solution

The fourth proportional to 12,909.52, 17,815.23 and 8,430.62 is: 11,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.52 : 17,815.23 = 8,430.62 : x
  2. Step 2: Convert to fraction form
    12,909.52/17,815.23 = 8,430.62/x
  3. Step 3: Cross multiply
    12,909.52x = 17,815.23 × 8,430.62
  4. Step 4: Simplify right side
    12,909.52x = 150,193,478.88
  5. Step 5: Solve for x
    x = 150,193,478.88/12,909.52
  6. Step 6: Final answer
    x = 11,634.32

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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.