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Finding the Fourth Proportional to 24,108.48, 36,165.12 and 7,467.84

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Solution

The fourth proportional to 24,108.48, 36,165.12 and 7,467.84 is: 11,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108.48 : 36,165.12 = 7,467.84 : x
  2. Step 2: Convert to fraction form
    24,108.48/36,165.12 = 7,467.84/x
  3. Step 3: Cross multiply
    24,108.48x = 36,165.12 × 7,467.84
  4. Step 4: Simplify right side
    24,108.48x = 270,075,329.74
  5. Step 5: Solve for x
    x = 270,075,329.74/24,108.48
  6. Step 6: Final answer
    x = 11,202.50

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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.