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Finding the Fourth Proportional to 24,354.88, 36,534.65 and 6,824.66

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Solution

The fourth proportional to 24,354.88, 36,534.65 and 6,824.66 is: 10,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354.88 : 36,534.65 = 6,824.66 : x
  2. Step 2: Convert to fraction form
    24,354.88/36,534.65 = 6,824.66/x
  3. Step 3: Cross multiply
    24,354.88x = 36,534.65 × 6,824.66
  4. Step 4: Simplify right side
    24,354.88x = 249,336,347.67
  5. Step 5: Solve for x
    x = 249,336,347.67/24,354.88
  6. Step 6: Final answer
    x = 10,237.64

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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.