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Finding the Fourth Proportional to 13,117.90, 18,103.42 and 7,743.50

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Solution

The fourth proportional to 13,117.90, 18,103.42 and 7,743.50 is: 10,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.90 : 18,103.42 = 7,743.50 : x
  2. Step 2: Convert to fraction form
    13,117.90/18,103.42 = 7,743.50/x
  3. Step 3: Cross multiply
    13,117.90x = 18,103.42 × 7,743.50
  4. Step 4: Simplify right side
    13,117.90x = 140,183,841.60
  5. Step 5: Solve for x
    x = 140,183,841.60/13,117.90
  6. Step 6: Final answer
    x = 10,686.46

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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.