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Finding the Fourth Proportional to 24,078.96, 36,120.06 and 9,288

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Solution

The fourth proportional to 24,078.96, 36,120.06 and 9,288 is: 13,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.96 : 36,120.06 = 9,288 : x
  2. Step 2: Convert to fraction form
    24,078.96/36,120.06 = 9,288/x
  3. Step 3: Cross multiply
    24,078.96x = 36,120.06 × 9,288
  4. Step 4: Simplify right side
    24,078.96x = 335,483,117.28
  5. Step 5: Solve for x
    x = 335,483,117.28/24,078.96
  6. Step 6: Final answer
    x = 13,932.62

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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.