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Finding the Fourth Proportional to 13,211.17, 19,818.48 and 6,971.44

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Solution

The fourth proportional to 13,211.17, 19,818.48 and 6,971.44 is: 10,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.17 : 19,818.48 = 6,971.44 : x
  2. Step 2: Convert to fraction form
    13,211.17/19,818.48 = 6,971.44/x
  3. Step 3: Cross multiply
    13,211.17x = 19,818.48 × 6,971.44
  4. Step 4: Simplify right side
    13,211.17x = 138,163,344.21
  5. Step 5: Solve for x
    x = 138,163,344.21/13,211.17
  6. Step 6: Final answer
    x = 10,458.07

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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.