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Finding the Fourth Proportional to 17,806.33, 24,569.80 and 9,847

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Solution

The fourth proportional to 17,806.33, 24,569.80 and 9,847 is: 13,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.33 : 24,569.80 = 9,847 : x
  2. Step 2: Convert to fraction form
    17,806.33/24,569.80 = 9,847/x
  3. Step 3: Cross multiply
    17,806.33x = 24,569.80 × 9,847
  4. Step 4: Simplify right side
    17,806.33x = 241,938,820.60
  5. Step 5: Solve for x
    x = 241,938,820.60/17,806.33
  6. Step 6: Final answer
    x = 13,587.24

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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.