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Finding the Fourth Proportional to 13,139.66, 18,133.28 and 7,475.42

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Solution

The fourth proportional to 13,139.66, 18,133.28 and 7,475.42 is: 10,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.66 : 18,133.28 = 7,475.42 : x
  2. Step 2: Convert to fraction form
    13,139.66/18,133.28 = 7,475.42/x
  3. Step 3: Cross multiply
    13,139.66x = 18,133.28 × 7,475.42
  4. Step 4: Simplify right side
    13,139.66x = 135,553,883.98
  5. Step 5: Solve for x
    x = 135,553,883.98/13,139.66
  6. Step 6: Final answer
    x = 10,316.39

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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.