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Finding the Fourth Proportional to 12,117.90, 18,176.85 and 9,201.90

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Solution

The fourth proportional to 12,117.90, 18,176.85 and 9,201.90 is: 13,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.90 : 18,176.85 = 9,201.90 : x
  2. Step 2: Convert to fraction form
    12,117.90/18,176.85 = 9,201.90/x
  3. Step 3: Cross multiply
    12,117.90x = 18,176.85 × 9,201.90
  4. Step 4: Simplify right side
    12,117.90x = 167,261,556.02
  5. Step 5: Solve for x
    x = 167,261,556.02/12,117.90
  6. Step 6: Final answer
    x = 13,802.85

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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.