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Finding the Fourth Proportional to 24,295.44, 36,441 and 12,458.64

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Solution

The fourth proportional to 24,295.44, 36,441 and 12,458.64 is: 18,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.44 : 36,441 = 12,458.64 : x
  2. Step 2: Convert to fraction form
    24,295.44/36,441 = 12,458.64/x
  3. Step 3: Cross multiply
    24,295.44x = 36,441 × 12,458.64
  4. Step 4: Simplify right side
    24,295.44x = 454,005,300.24
  5. Step 5: Solve for x
    x = 454,005,300.24/24,295.44
  6. Step 6: Final answer
    x = 18,686.85

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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.