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Finding the Fourth Proportional to 24,291.58, 36,426.84 and 10,257.88

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Solution

The fourth proportional to 24,291.58, 36,426.84 and 10,257.88 is: 15,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.58 : 36,426.84 = 10,257.88 : x
  2. Step 2: Convert to fraction form
    24,291.58/36,426.84 = 10,257.88/x
  3. Step 3: Cross multiply
    24,291.58x = 36,426.84 × 10,257.88
  4. Step 4: Simplify right side
    24,291.58x = 373,662,153.50
  5. Step 5: Solve for x
    x = 373,662,153.50/24,291.58
  6. Step 6: Final answer
    x = 15,382.37

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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.