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Finding the Fourth Proportional to 24,728.42, 37,098.46 and 8,088.39

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Solution

The fourth proportional to 24,728.42, 37,098.46 and 8,088.39 is: 12,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.42 : 37,098.46 = 8,088.39 : x
  2. Step 2: Convert to fraction form
    24,728.42/37,098.46 = 8,088.39/x
  3. Step 3: Cross multiply
    24,728.42x = 37,098.46 × 8,088.39
  4. Step 4: Simplify right side
    24,728.42x = 300,066,627.39
  5. Step 5: Solve for x
    x = 300,066,627.39/24,728.42
  6. Step 6: Final answer
    x = 12,134.48

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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.