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Finding the Fourth Proportional to 24,881.32, 37,313 and 8,238.28

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Solution

The fourth proportional to 24,881.32, 37,313 and 8,238.28 is: 12,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.32 : 37,313 = 8,238.28 : x
  2. Step 2: Convert to fraction form
    24,881.32/37,313 = 8,238.28/x
  3. Step 3: Cross multiply
    24,881.32x = 37,313 × 8,238.28
  4. Step 4: Simplify right side
    24,881.32x = 307,394,941.64
  5. Step 5: Solve for x
    x = 307,394,941.64/24,881.32
  6. Step 6: Final answer
    x = 12,354.45

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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.