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Finding the Fourth Proportional to 12,886.89, 17,759.01 and 9,154.41

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Solution

The fourth proportional to 12,886.89, 17,759.01 and 9,154.41 is: 12,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.89 : 17,759.01 = 9,154.41 : x
  2. Step 2: Convert to fraction form
    12,886.89/17,759.01 = 9,154.41/x
  3. Step 3: Cross multiply
    12,886.89x = 17,759.01 × 9,154.41
  4. Step 4: Simplify right side
    12,886.89x = 162,573,258.73
  5. Step 5: Solve for x
    x = 162,573,258.73/12,886.89
  6. Step 6: Final answer
    x = 12,615.40

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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.