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Finding the Fourth Proportional to 24,276.76, 36,417.72 and 7,637.32

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Solution

The fourth proportional to 24,276.76, 36,417.72 and 7,637.32 is: 11,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.76 : 36,417.72 = 7,637.32 : x
  2. Step 2: Convert to fraction form
    24,276.76/36,417.72 = 7,637.32/x
  3. Step 3: Cross multiply
    24,276.76x = 36,417.72 × 7,637.32
  4. Step 4: Simplify right side
    24,276.76x = 278,133,781.31
  5. Step 5: Solve for x
    x = 278,133,781.31/24,276.76
  6. Step 6: Final answer
    x = 11,456.79

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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.