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Finding the Fourth Proportional to 20,478.47, 30,678.30 and 12,557.86

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Solution

The fourth proportional to 20,478.47, 30,678.30 and 12,557.86 is: 18,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.47 : 30,678.30 = 12,557.86 : x
  2. Step 2: Convert to fraction form
    20,478.47/30,678.30 = 12,557.86/x
  3. Step 3: Cross multiply
    20,478.47x = 30,678.30 × 12,557.86
  4. Step 4: Simplify right side
    20,478.47x = 385,253,719.74
  5. Step 5: Solve for x
    x = 385,253,719.74/20,478.47
  6. Step 6: Final answer
    x = 18,812.63

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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.