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Finding the Fourth Proportional to 21,730.68, 32,597.64 and 6,149.52

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Solution

The fourth proportional to 21,730.68, 32,597.64 and 6,149.52 is: 9,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.68 : 32,597.64 = 6,149.52 : x
  2. Step 2: Convert to fraction form
    21,730.68/32,597.64 = 6,149.52/x
  3. Step 3: Cross multiply
    21,730.68x = 32,597.64 × 6,149.52
  4. Step 4: Simplify right side
    21,730.68x = 200,459,839.13
  5. Step 5: Solve for x
    x = 200,459,839.13/21,730.68
  6. Step 6: Final answer
    x = 9,224.74

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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.