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Finding the Fourth Proportional to 42,013.89, 63,003.02 and 12,423.78

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Solution

The fourth proportional to 42,013.89, 63,003.02 and 12,423.78 is: 18,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.89 : 63,003.02 = 12,423.78 : x
  2. Step 2: Convert to fraction form
    42,013.89/63,003.02 = 12,423.78/x
  3. Step 3: Cross multiply
    42,013.89x = 63,003.02 × 12,423.78
  4. Step 4: Simplify right side
    42,013.89x = 782,735,597.70
  5. Step 5: Solve for x
    x = 782,735,597.70/42,013.89
  6. Step 6: Final answer
    x = 18,630.40

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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.