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Finding the Fourth Proportional to 24,454.38, 36,677.22 and 6,920.10

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Solution

The fourth proportional to 24,454.38, 36,677.22 and 6,920.10 is: 10,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.38 : 36,677.22 = 6,920.10 : x
  2. Step 2: Convert to fraction form
    24,454.38/36,677.22 = 6,920.10/x
  3. Step 3: Cross multiply
    24,454.38x = 36,677.22 × 6,920.10
  4. Step 4: Simplify right side
    24,454.38x = 253,810,030.12
  5. Step 5: Solve for x
    x = 253,810,030.12/24,454.38
  6. Step 6: Final answer
    x = 10,378.92

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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.