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Finding the Fourth Proportional to 24,427.59, 36,640.77 and 6,897.16

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Solution

The fourth proportional to 24,427.59, 36,640.77 and 6,897.16 is: 10,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.59 : 36,640.77 = 6,897.16 : x
  2. Step 2: Convert to fraction form
    24,427.59/36,640.77 = 6,897.16/x
  3. Step 3: Cross multiply
    24,427.59x = 36,640.77 × 6,897.16
  4. Step 4: Simplify right side
    24,427.59x = 252,717,253.21
  5. Step 5: Solve for x
    x = 252,717,253.21/24,427.59
  6. Step 6: Final answer
    x = 10,345.57

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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.