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Finding the Fourth Proportional to 24,559.53, 36,841.65 and 9,765.15

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Solution

The fourth proportional to 24,559.53, 36,841.65 and 9,765.15 is: 14,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,559.53 : 36,841.65 = 9,765.15 : x
  2. Step 2: Convert to fraction form
    24,559.53/36,841.65 = 9,765.15/x
  3. Step 3: Cross multiply
    24,559.53x = 36,841.65 × 9,765.15
  4. Step 4: Simplify right side
    24,559.53x = 359,764,238.50
  5. Step 5: Solve for x
    x = 359,764,238.50/24,559.53
  6. Step 6: Final answer
    x = 14,648.66

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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.