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Finding the Fourth Proportional to 24,277.96, 36,417.18 and 7,637.62

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Solution

The fourth proportional to 24,277.96, 36,417.18 and 7,637.62 is: 11,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.96 : 36,417.18 = 7,637.62 : x
  2. Step 2: Convert to fraction form
    24,277.96/36,417.18 = 7,637.62/x
  3. Step 3: Cross multiply
    24,277.96x = 36,417.18 × 7,637.62
  4. Step 4: Simplify right side
    24,277.96x = 278,140,582.31
  5. Step 5: Solve for x
    x = 278,140,582.31/24,277.96
  6. Step 6: Final answer
    x = 11,456.51

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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.