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Finding the Fourth Proportional to 13,023.74, 17,973.86 and 7,359.52

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Solution

The fourth proportional to 13,023.74, 17,973.86 and 7,359.52 is: 10,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.74 : 17,973.86 = 7,359.52 : x
  2. Step 2: Convert to fraction form
    13,023.74/17,973.86 = 7,359.52/x
  3. Step 3: Cross multiply
    13,023.74x = 17,973.86 × 7,359.52
  4. Step 4: Simplify right side
    13,023.74x = 132,278,982.15
  5. Step 5: Solve for x
    x = 132,278,982.15/13,023.74
  6. Step 6: Final answer
    x = 10,156.76

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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.