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Finding the Fourth Proportional to 24,781.56, 37,148.28 and 8,130.12

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Solution

The fourth proportional to 24,781.56, 37,148.28 and 8,130.12 is: 12,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.56 : 37,148.28 = 8,130.12 : x
  2. Step 2: Convert to fraction form
    24,781.56/37,148.28 = 8,130.12/x
  3. Step 3: Cross multiply
    24,781.56x = 37,148.28 × 8,130.12
  4. Step 4: Simplify right side
    24,781.56x = 302,019,974.19
  5. Step 5: Solve for x
    x = 302,019,974.19/24,781.56
  6. Step 6: Final answer
    x = 12,187.29

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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.