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Finding the Fourth Proportional to 12,537.20, 17,301.30 and 6,948.20

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Solution

The fourth proportional to 12,537.20, 17,301.30 and 6,948.20 is: 9,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.20 : 17,301.30 = 6,948.20 : x
  2. Step 2: Convert to fraction form
    12,537.20/17,301.30 = 6,948.20/x
  3. Step 3: Cross multiply
    12,537.20x = 17,301.30 × 6,948.20
  4. Step 4: Simplify right side
    12,537.20x = 120,212,892.66
  5. Step 5: Solve for x
    x = 120,212,892.66/12,537.20
  6. Step 6: Final answer
    x = 9,588.50

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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.