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Finding the Fourth Proportional to 24,357.88, 36,539.14 and 6,827.66

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Solution

The fourth proportional to 24,357.88, 36,539.14 and 6,827.66 is: 10,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.88 : 36,539.14 = 6,827.66 : x
  2. Step 2: Convert to fraction form
    24,357.88/36,539.14 = 6,827.66/x
  3. Step 3: Cross multiply
    24,357.88x = 36,539.14 × 6,827.66
  4. Step 4: Simplify right side
    24,357.88x = 249,476,824.61
  5. Step 5: Solve for x
    x = 249,476,824.61/24,357.88
  6. Step 6: Final answer
    x = 10,242.14

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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.