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Finding the Fourth Proportional to 20,407.68, 30,575.21 and 8,535.29

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Solution

The fourth proportional to 20,407.68, 30,575.21 and 8,535.29 is: 12,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.68 : 30,575.21 = 8,535.29 : x
  2. Step 2: Convert to fraction form
    20,407.68/30,575.21 = 8,535.29/x
  3. Step 3: Cross multiply
    20,407.68x = 30,575.21 × 8,535.29
  4. Step 4: Simplify right side
    20,407.68x = 260,968,088.61
  5. Step 5: Solve for x
    x = 260,968,088.61/20,407.68
  6. Step 6: Final answer
    x = 12,787.74

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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.