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Finding the Fourth Proportional to 12,400.90, 18,577.88 and 9,613.92

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Solution

The fourth proportional to 12,400.90, 18,577.88 and 9,613.92 is: 14,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.90 : 18,577.88 = 9,613.92 : x
  2. Step 2: Convert to fraction form
    12,400.90/18,577.88 = 9,613.92/x
  3. Step 3: Cross multiply
    12,400.90x = 18,577.88 × 9,613.92
  4. Step 4: Simplify right side
    12,400.90x = 178,606,252.09
  5. Step 5: Solve for x
    x = 178,606,252.09/12,400.90
  6. Step 6: Final answer
    x = 14,402.68

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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.