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Finding the Fourth Proportional to 23,806.71, 32,854.29 and 13,196.34

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Solution

The fourth proportional to 23,806.71, 32,854.29 and 13,196.34 is: 18,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.71 : 32,854.29 = 13,196.34 : x
  2. Step 2: Convert to fraction form
    23,806.71/32,854.29 = 13,196.34/x
  3. Step 3: Cross multiply
    23,806.71x = 32,854.29 × 13,196.34
  4. Step 4: Simplify right side
    23,806.71x = 433,556,381.30
  5. Step 5: Solve for x
    x = 433,556,381.30/23,806.71
  6. Step 6: Final answer
    x = 18,211.52

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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.