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Finding the Fourth Proportional to 20,102.97, 30,154.54 and 8,407.99

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Solution

The fourth proportional to 20,102.97, 30,154.54 and 8,407.99 is: 12,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.97 : 30,154.54 = 8,407.99 : x
  2. Step 2: Convert to fraction form
    20,102.97/30,154.54 = 8,407.99/x
  3. Step 3: Cross multiply
    20,102.97x = 30,154.54 × 8,407.99
  4. Step 4: Simplify right side
    20,102.97x = 253,539,070.77
  5. Step 5: Solve for x
    x = 253,539,070.77/20,102.97
  6. Step 6: Final answer
    x = 12,612.02

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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.