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Finding the Fourth Proportional to 13,023.45, 17,971.29 and 7,358.69

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Solution

The fourth proportional to 13,023.45, 17,971.29 and 7,358.69 is: 10,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.45 : 17,971.29 = 7,358.69 : x
  2. Step 2: Convert to fraction form
    13,023.45/17,971.29 = 7,358.69/x
  3. Step 3: Cross multiply
    13,023.45x = 17,971.29 × 7,358.69
  4. Step 4: Simplify right side
    13,023.45x = 132,245,152.01
  5. Step 5: Solve for x
    x = 132,245,152.01/13,023.45
  6. Step 6: Final answer
    x = 10,154.39

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