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Finding the Fourth Proportional to 21,681.90, 32,528.97 and 6,099.66

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Solution

The fourth proportional to 21,681.90, 32,528.97 and 6,099.66 is: 9,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.90 : 32,528.97 = 6,099.66 : x
  2. Step 2: Convert to fraction form
    21,681.90/32,528.97 = 6,099.66/x
  3. Step 3: Cross multiply
    21,681.90x = 32,528.97 × 6,099.66
  4. Step 4: Simplify right side
    21,681.90x = 198,415,657.15
  5. Step 5: Solve for x
    x = 198,415,657.15/21,681.90
  6. Step 6: Final answer
    x = 9,151.21

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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.