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Finding the Fourth Proportional to 13,023.41, 17,971.40 and 7,358.38

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Solution

The fourth proportional to 13,023.41, 17,971.40 and 7,358.38 is: 10,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.41 : 17,971.40 = 7,358.38 : x
  2. Step 2: Convert to fraction form
    13,023.41/17,971.40 = 7,358.38/x
  3. Step 3: Cross multiply
    13,023.41x = 17,971.40 × 7,358.38
  4. Step 4: Simplify right side
    13,023.41x = 132,240,363.80
  5. Step 5: Solve for x
    x = 132,240,363.80/13,023.41
  6. Step 6: Final answer
    x = 10,154.05

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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.