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Finding the Fourth Proportional to 24,462.07, 36,691.06 and 7,817.64

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Solution

The fourth proportional to 24,462.07, 36,691.06 and 7,817.64 is: 11,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.07 : 36,691.06 = 7,817.64 : x
  2. Step 2: Convert to fraction form
    24,462.07/36,691.06 = 7,817.64/x
  3. Step 3: Cross multiply
    24,462.07x = 36,691.06 × 7,817.64
  4. Step 4: Simplify right side
    24,462.07x = 286,837,275.75
  5. Step 5: Solve for x
    x = 286,837,275.75/24,462.07
  6. Step 6: Final answer
    x = 11,725.80

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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.