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Finding the Fourth Proportional to 13,387.90, 18,475.02 and 7,419.52

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Solution

The fourth proportional to 13,387.90, 18,475.02 and 7,419.52 is: 10,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.90 : 18,475.02 = 7,419.52 : x
  2. Step 2: Convert to fraction form
    13,387.90/18,475.02 = 7,419.52/x
  3. Step 3: Cross multiply
    13,387.90x = 18,475.02 × 7,419.52
  4. Step 4: Simplify right side
    13,387.90x = 137,075,780.39
  5. Step 5: Solve for x
    x = 137,075,780.39/13,387.90
  6. Step 6: Final answer
    x = 10,238.78

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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.