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Finding the Fourth Proportional to 19,988.76, 29,972.12 and 8,139.50

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Solution

The fourth proportional to 19,988.76, 29,972.12 and 8,139.50 is: 12,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988.76 : 29,972.12 = 8,139.50 : x
  2. Step 2: Convert to fraction form
    19,988.76/29,972.12 = 8,139.50/x
  3. Step 3: Cross multiply
    19,988.76x = 29,972.12 × 8,139.50
  4. Step 4: Simplify right side
    19,988.76x = 243,957,880.18
  5. Step 5: Solve for x
    x = 243,957,880.18/19,988.76
  6. Step 6: Final answer
    x = 12,204.75

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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.