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Finding the Fourth Proportional to 24,400.63, 36,600.03 and 6,870

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Solution

The fourth proportional to 24,400.63, 36,600.03 and 6,870 is: 10,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.63 : 36,600.03 = 6,870 : x
  2. Step 2: Convert to fraction form
    24,400.63/36,600.03 = 6,870/x
  3. Step 3: Cross multiply
    24,400.63x = 36,600.03 × 6,870
  4. Step 4: Simplify right side
    24,400.63x = 251,442,206.10
  5. Step 5: Solve for x
    x = 251,442,206.10/24,400.63
  6. Step 6: Final answer
    x = 10,304.74

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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.