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Finding the Fourth Proportional to 24,734.40, 37,109.28 and 8,094.52

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Solution

The fourth proportional to 24,734.40, 37,109.28 and 8,094.52 is: 12,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.40 : 37,109.28 = 8,094.52 : x
  2. Step 2: Convert to fraction form
    24,734.40/37,109.28 = 8,094.52/x
  3. Step 3: Cross multiply
    24,734.40x = 37,109.28 × 8,094.52
  4. Step 4: Simplify right side
    24,734.40x = 300,381,809.15
  5. Step 5: Solve for x
    x = 300,381,809.15/24,734.40
  6. Step 6: Final answer
    x = 12,144.29

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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.