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Finding the Fourth Proportional to 24,333.13, 36,499.63 and 5,865.13

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Solution

The fourth proportional to 24,333.13, 36,499.63 and 5,865.13 is: 8,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.13 : 36,499.63 = 5,865.13 : x
  2. Step 2: Convert to fraction form
    24,333.13/36,499.63 = 5,865.13/x
  3. Step 3: Cross multiply
    24,333.13x = 36,499.63 × 5,865.13
  4. Step 4: Simplify right side
    24,333.13x = 214,075,074.90
  5. Step 5: Solve for x
    x = 214,075,074.90/24,333.13
  6. Step 6: Final answer
    x = 8,797.68

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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.