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Finding the Fourth Proportional to 13,009.10, 17,948.17 and 8,469.71

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Solution

The fourth proportional to 13,009.10, 17,948.17 and 8,469.71 is: 11,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.10 : 17,948.17 = 8,469.71 : x
  2. Step 2: Convert to fraction form
    13,009.10/17,948.17 = 8,469.71/x
  3. Step 3: Cross multiply
    13,009.10x = 17,948.17 × 8,469.71
  4. Step 4: Simplify right side
    13,009.10x = 152,015,684.02
  5. Step 5: Solve for x
    x = 152,015,684.02/13,009.10
  6. Step 6: Final answer
    x = 11,685.34

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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.