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Finding the Fourth Proportional to 18,075.57, 24,944.02 and 10,117.78

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Solution

The fourth proportional to 18,075.57, 24,944.02 and 10,117.78 is: 13,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075.57 : 24,944.02 = 10,117.78 : x
  2. Step 2: Convert to fraction form
    18,075.57/24,944.02 = 10,117.78/x
  3. Step 3: Cross multiply
    18,075.57x = 24,944.02 × 10,117.78
  4. Step 4: Simplify right side
    18,075.57x = 252,378,106.68
  5. Step 5: Solve for x
    x = 252,378,106.68/18,075.57
  6. Step 6: Final answer
    x = 13,962.39

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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.