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Finding the Fourth Proportional to 13,171.90, 19,725.85 and 7,002.30

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Solution

The fourth proportional to 13,171.90, 19,725.85 and 7,002.30 is: 10,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.90 : 19,725.85 = 7,002.30 : x
  2. Step 2: Convert to fraction form
    13,171.90/19,725.85 = 7,002.30/x
  3. Step 3: Cross multiply
    13,171.90x = 19,725.85 × 7,002.30
  4. Step 4: Simplify right side
    13,171.90x = 138,126,319.46
  5. Step 5: Solve for x
    x = 138,126,319.46/13,171.90
  6. Step 6: Final answer
    x = 10,486.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.