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Finding the Fourth Proportional to 24,079.96, 36,121.56 and 9,289

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Solution

The fourth proportional to 24,079.96, 36,121.56 and 9,289 is: 13,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079.96 : 36,121.56 = 9,289 : x
  2. Step 2: Convert to fraction form
    24,079.96/36,121.56 = 9,289/x
  3. Step 3: Cross multiply
    24,079.96x = 36,121.56 × 9,289
  4. Step 4: Simplify right side
    24,079.96x = 335,533,170.84
  5. Step 5: Solve for x
    x = 335,533,170.84/24,079.96
  6. Step 6: Final answer
    x = 13,934.12

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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.