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Finding the Fourth Proportional to 24,743.53, 37,116.51 and 7,214.73

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Solution

The fourth proportional to 24,743.53, 37,116.51 and 7,214.73 is: 10,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.53 : 37,116.51 = 7,214.73 : x
  2. Step 2: Convert to fraction form
    24,743.53/37,116.51 = 7,214.73/x
  3. Step 3: Cross multiply
    24,743.53x = 37,116.51 × 7,214.73
  4. Step 4: Simplify right side
    24,743.53x = 267,785,598.19
  5. Step 5: Solve for x
    x = 267,785,598.19/24,743.53
  6. Step 6: Final answer
    x = 10,822.45

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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.