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Finding the Fourth Proportional to 24,740.90, 37,114.84 and 8,102.28

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Solution

The fourth proportional to 24,740.90, 37,114.84 and 8,102.28 is: 12,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.90 : 37,114.84 = 8,102.28 : x
  2. Step 2: Convert to fraction form
    24,740.90/37,114.84 = 8,102.28/x
  3. Step 3: Cross multiply
    24,740.90x = 37,114.84 × 8,102.28
  4. Step 4: Simplify right side
    24,740.90x = 300,714,825.84
  5. Step 5: Solve for x
    x = 300,714,825.84/24,740.90
  6. Step 6: Final answer
    x = 12,154.56

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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.