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Finding the Fourth Proportional to 24,156.80, 33,334.56 and 13,544

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Solution

The fourth proportional to 24,156.80, 33,334.56 and 13,544 is: 18,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156.80 : 33,334.56 = 13,544 : x
  2. Step 2: Convert to fraction form
    24,156.80/33,334.56 = 13,544/x
  3. Step 3: Cross multiply
    24,156.80x = 33,334.56 × 13,544
  4. Step 4: Simplify right side
    24,156.80x = 451,483,280.64
  5. Step 5: Solve for x
    x = 451,483,280.64/24,156.80
  6. Step 6: Final answer
    x = 18,689.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.