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Finding the Fourth Proportional to 11,627.40, 17,430.30 and 8,117.40

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Solution

The fourth proportional to 11,627.40, 17,430.30 and 8,117.40 is: 12,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.40 : 17,430.30 = 8,117.40 : x
  2. Step 2: Convert to fraction form
    11,627.40/17,430.30 = 8,117.40/x
  3. Step 3: Cross multiply
    11,627.40x = 17,430.30 × 8,117.40
  4. Step 4: Simplify right side
    11,627.40x = 141,488,717.22
  5. Step 5: Solve for x
    x = 141,488,717.22/11,627.40
  6. Step 6: Final answer
    x = 12,168.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.