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Finding the Fourth Proportional to 20,083.86, 30,125.66 and 15,705

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Solution

The fourth proportional to 20,083.86, 30,125.66 and 15,705 is: 23,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.86 : 30,125.66 = 15,705 : x
  2. Step 2: Convert to fraction form
    20,083.86/30,125.66 = 15,705/x
  3. Step 3: Cross multiply
    20,083.86x = 30,125.66 × 15,705
  4. Step 4: Simplify right side
    20,083.86x = 473,123,411.78
  5. Step 5: Solve for x
    x = 473,123,411.78/20,083.86
  6. Step 6: Final answer
    x = 23,557.39

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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.