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Finding the Fourth Proportional to 16,407.90, 24,613.56 and 5,314.14

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Solution

The fourth proportional to 16,407.90, 24,613.56 and 5,314.14 is: 7,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.90 : 24,613.56 = 5,314.14 : x
  2. Step 2: Convert to fraction form
    16,407.90/24,613.56 = 5,314.14/x
  3. Step 3: Cross multiply
    16,407.90x = 24,613.56 × 5,314.14
  4. Step 4: Simplify right side
    16,407.90x = 130,799,903.74
  5. Step 5: Solve for x
    x = 130,799,903.74/16,407.90
  6. Step 6: Final answer
    x = 7,971.76

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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.