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Finding the Fourth Proportional to 24,653.92, 36,996 and 9,071.68

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Solution

The fourth proportional to 24,653.92, 36,996 and 9,071.68 is: 13,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.92 : 36,996 = 9,071.68 : x
  2. Step 2: Convert to fraction form
    24,653.92/36,996 = 9,071.68/x
  3. Step 3: Cross multiply
    24,653.92x = 36,996 × 9,071.68
  4. Step 4: Simplify right side
    24,653.92x = 335,615,873.28
  5. Step 5: Solve for x
    x = 335,615,873.28/24,653.92
  6. Step 6: Final answer
    x = 13,613.08

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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.