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Finding the Fourth Proportional to 24,272.16, 36,407.03 and 6,742.14

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Solution

The fourth proportional to 24,272.16, 36,407.03 and 6,742.14 is: 10,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272.16 : 36,407.03 = 6,742.14 : x
  2. Step 2: Convert to fraction form
    24,272.16/36,407.03 = 6,742.14/x
  3. Step 3: Cross multiply
    24,272.16x = 36,407.03 × 6,742.14
  4. Step 4: Simplify right side
    24,272.16x = 245,461,259.53
  5. Step 5: Solve for x
    x = 245,461,259.53/24,272.16
  6. Step 6: Final answer
    x = 10,112.87

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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.