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Finding the Fourth Proportional to 24,358.88, 36,540.64 and 6,828.66

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Solution

The fourth proportional to 24,358.88, 36,540.64 and 6,828.66 is: 10,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.88 : 36,540.64 = 6,828.66 : x
  2. Step 2: Convert to fraction form
    24,358.88/36,540.64 = 6,828.66/x
  3. Step 3: Cross multiply
    24,358.88x = 36,540.64 × 6,828.66
  4. Step 4: Simplify right side
    24,358.88x = 249,523,606.74
  5. Step 5: Solve for x
    x = 249,523,606.74/24,358.88
  6. Step 6: Final answer
    x = 10,243.64

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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.