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Finding the Fourth Proportional to 11,967.30, 17,948.21 and 3,531.63

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Solution

The fourth proportional to 11,967.30, 17,948.21 and 3,531.63 is: 5,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.30 : 17,948.21 = 3,531.63 : x
  2. Step 2: Convert to fraction form
    11,967.30/17,948.21 = 3,531.63/x
  3. Step 3: Cross multiply
    11,967.30x = 17,948.21 × 3,531.63
  4. Step 4: Simplify right side
    11,967.30x = 63,386,419.22
  5. Step 5: Solve for x
    x = 63,386,419.22/11,967.30
  6. Step 6: Final answer
    x = 5,296.63

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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.