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Finding the Fourth Proportional to 21,425.69, 32,132.32 and 8,275.07

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Solution

The fourth proportional to 21,425.69, 32,132.32 and 8,275.07 is: 12,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.69 : 32,132.32 = 8,275.07 : x
  2. Step 2: Convert to fraction form
    21,425.69/32,132.32 = 8,275.07/x
  3. Step 3: Cross multiply
    21,425.69x = 32,132.32 × 8,275.07
  4. Step 4: Simplify right side
    21,425.69x = 265,897,197.26
  5. Step 5: Solve for x
    x = 265,897,197.26/21,425.69
  6. Step 6: Final answer
    x = 12,410.20

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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.