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Finding the Fourth Proportional to 24,456.16, 36,684.24 and 6,926.14

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Solution

The fourth proportional to 24,456.16, 36,684.24 and 6,926.14 is: 10,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.16 : 36,684.24 = 6,926.14 : x
  2. Step 2: Convert to fraction form
    24,456.16/36,684.24 = 6,926.14/x
  3. Step 3: Cross multiply
    24,456.16x = 36,684.24 × 6,926.14
  4. Step 4: Simplify right side
    24,456.16x = 254,080,182.03
  5. Step 5: Solve for x
    x = 254,080,182.03/24,456.16
  6. Step 6: Final answer
    x = 10,389.21

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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.