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Finding the Fourth Proportional to 24,230.16, 36,341.58 and 15,525.90

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Solution

The fourth proportional to 24,230.16, 36,341.58 and 15,525.90 is: 23,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.16 : 36,341.58 = 15,525.90 : x
  2. Step 2: Convert to fraction form
    24,230.16/36,341.58 = 15,525.90/x
  3. Step 3: Cross multiply
    24,230.16x = 36,341.58 × 15,525.90
  4. Step 4: Simplify right side
    24,230.16x = 564,235,736.92
  5. Step 5: Solve for x
    x = 564,235,736.92/24,230.16
  6. Step 6: Final answer
    x = 23,286.50

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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.