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Finding the Fourth Proportional to 24,395.57, 36,594.62 and 6,866.76

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Solution

The fourth proportional to 24,395.57, 36,594.62 and 6,866.76 is: 10,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.57 : 36,594.62 = 6,866.76 : x
  2. Step 2: Convert to fraction form
    24,395.57/36,594.62 = 6,866.76/x
  3. Step 3: Cross multiply
    24,395.57x = 36,594.62 × 6,866.76
  4. Step 4: Simplify right side
    24,395.57x = 251,286,438.50
  5. Step 5: Solve for x
    x = 251,286,438.50/24,395.57
  6. Step 6: Final answer
    x = 10,300.50

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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.