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Finding the Fourth Proportional to 24,401.20, 36,601.80 and 9,602.50

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Solution

The fourth proportional to 24,401.20, 36,601.80 and 9,602.50 is: 14,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.20 : 36,601.80 = 9,602.50 : x
  2. Step 2: Convert to fraction form
    24,401.20/36,601.80 = 9,602.50/x
  3. Step 3: Cross multiply
    24,401.20x = 36,601.80 × 9,602.50
  4. Step 4: Simplify right side
    24,401.20x = 351,468,784.50
  5. Step 5: Solve for x
    x = 351,468,784.50/24,401.20
  6. Step 6: Final answer
    x = 14,403.75

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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.