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Finding the Fourth Proportional to 21,681.50, 32,522.24 and 6,099.12

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Solution

The fourth proportional to 21,681.50, 32,522.24 and 6,099.12 is: 9,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.50 : 32,522.24 = 6,099.12 : x
  2. Step 2: Convert to fraction form
    21,681.50/32,522.24 = 6,099.12/x
  3. Step 3: Cross multiply
    21,681.50x = 32,522.24 × 6,099.12
  4. Step 4: Simplify right side
    21,681.50x = 198,357,044.43
  5. Step 5: Solve for x
    x = 198,357,044.43/21,681.50
  6. Step 6: Final answer
    x = 9,148.68

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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.