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Finding the Fourth Proportional to 24,867.14, 37,301.43 and 6,147.16

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Solution

The fourth proportional to 24,867.14, 37,301.43 and 6,147.16 is: 9,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867.14 : 37,301.43 = 6,147.16 : x
  2. Step 2: Convert to fraction form
    24,867.14/37,301.43 = 6,147.16/x
  3. Step 3: Cross multiply
    24,867.14x = 37,301.43 × 6,147.16
  4. Step 4: Simplify right side
    24,867.14x = 229,297,788.24
  5. Step 5: Solve for x
    x = 229,297,788.24/24,867.14
  6. Step 6: Final answer
    x = 9,220.92

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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.