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Finding the Fourth Proportional to 24,456.47, 36,684.83 and 6,926.31

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Solution

The fourth proportional to 24,456.47, 36,684.83 and 6,926.31 is: 10,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.47 : 36,684.83 = 6,926.31 : x
  2. Step 2: Convert to fraction form
    24,456.47/36,684.83 = 6,926.31/x
  3. Step 3: Cross multiply
    24,456.47x = 36,684.83 × 6,926.31
  4. Step 4: Simplify right side
    24,456.47x = 254,090,522.19
  5. Step 5: Solve for x
    x = 254,090,522.19/24,456.47
  6. Step 6: Final answer
    x = 10,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.