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Finding the Fourth Proportional to 21,407.70, 32,099.88 and 6,613.86

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Solution

The fourth proportional to 21,407.70, 32,099.88 and 6,613.86 is: 9,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.70 : 32,099.88 = 6,613.86 : x
  2. Step 2: Convert to fraction form
    21,407.70/32,099.88 = 6,613.86/x
  3. Step 3: Cross multiply
    21,407.70x = 32,099.88 × 6,613.86
  4. Step 4: Simplify right side
    21,407.70x = 212,304,112.34
  5. Step 5: Solve for x
    x = 212,304,112.34/21,407.70
  6. Step 6: Final answer
    x = 9,917.18

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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.