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Finding the Fourth Proportional to 24,743.48, 37,103.67 and 7,209.81

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Solution

The fourth proportional to 24,743.48, 37,103.67 and 7,209.81 is: 10,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.48 : 37,103.67 = 7,209.81 : x
  2. Step 2: Convert to fraction form
    24,743.48/37,103.67 = 7,209.81/x
  3. Step 3: Cross multiply
    24,743.48x = 37,103.67 × 7,209.81
  4. Step 4: Simplify right side
    24,743.48x = 267,510,411.00
  5. Step 5: Solve for x
    x = 267,510,411.00/24,743.48
  6. Step 6: Final answer
    x = 10,811.35

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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.