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Finding the Fourth Proportional to 24,741.48, 37,111.14 and 7,212

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Solution

The fourth proportional to 24,741.48, 37,111.14 and 7,212 is: 10,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.48 : 37,111.14 = 7,212 : x
  2. Step 2: Convert to fraction form
    24,741.48/37,111.14 = 7,212/x
  3. Step 3: Cross multiply
    24,741.48x = 37,111.14 × 7,212
  4. Step 4: Simplify right side
    24,741.48x = 267,645,541.68
  5. Step 5: Solve for x
    x = 267,645,541.68/24,741.48
  6. Step 6: Final answer
    x = 10,817.69

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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.