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Finding the Fourth Proportional to 15,852.88, 21,874.26 and 9,886.42

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Solution

The fourth proportional to 15,852.88, 21,874.26 and 9,886.42 is: 13,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.88 : 21,874.26 = 9,886.42 : x
  2. Step 2: Convert to fraction form
    15,852.88/21,874.26 = 9,886.42/x
  3. Step 3: Cross multiply
    15,852.88x = 21,874.26 × 9,886.42
  4. Step 4: Simplify right side
    15,852.88x = 216,258,121.55
  5. Step 5: Solve for x
    x = 216,258,121.55/15,852.88
  6. Step 6: Final answer
    x = 13,641.57

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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.