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Finding the Fourth Proportional to 24,974.25, 37,465.02 and 9,395.52

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Solution

The fourth proportional to 24,974.25, 37,465.02 and 9,395.52 is: 14,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974.25 : 37,465.02 = 9,395.52 : x
  2. Step 2: Convert to fraction form
    24,974.25/37,465.02 = 9,395.52/x
  3. Step 3: Cross multiply
    24,974.25x = 37,465.02 × 9,395.52
  4. Step 4: Simplify right side
    24,974.25x = 352,003,344.71
  5. Step 5: Solve for x
    x = 352,003,344.71/24,974.25
  6. Step 6: Final answer
    x = 14,094.65

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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.