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Finding the Fourth Proportional to 12,627.76, 17,419.90 and 9,638.40

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Solution

The fourth proportional to 12,627.76, 17,419.90 and 9,638.40 is: 13,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.76 : 17,419.90 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    12,627.76/17,419.90 = 9,638.40/x
  3. Step 3: Cross multiply
    12,627.76x = 17,419.90 × 9,638.40
  4. Step 4: Simplify right side
    12,627.76x = 167,900,001.58
  5. Step 5: Solve for x
    x = 167,900,001.58/12,627.76
  6. Step 6: Final answer
    x = 13,296.11

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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.