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Finding the Fourth Proportional to 24,411.20, 36,620.85 and 9,620.60

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Solution

The fourth proportional to 24,411.20, 36,620.85 and 9,620.60 is: 14,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.20 : 36,620.85 = 9,620.60 : x
  2. Step 2: Convert to fraction form
    24,411.20/36,620.85 = 9,620.60/x
  3. Step 3: Cross multiply
    24,411.20x = 36,620.85 × 9,620.60
  4. Step 4: Simplify right side
    24,411.20x = 352,314,549.51
  5. Step 5: Solve for x
    x = 352,314,549.51/24,411.20
  6. Step 6: Final answer
    x = 14,432.50

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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.