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Finding the Fourth Proportional to 13,091.34, 19,640.04 and 6,854.74

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Solution

The fourth proportional to 13,091.34, 19,640.04 and 6,854.74 is: 10,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.34 : 19,640.04 = 6,854.74 : x
  2. Step 2: Convert to fraction form
    13,091.34/19,640.04 = 6,854.74/x
  3. Step 3: Cross multiply
    13,091.34x = 19,640.04 × 6,854.74
  4. Step 4: Simplify right side
    13,091.34x = 134,627,367.79
  5. Step 5: Solve for x
    x = 134,627,367.79/13,091.34
  6. Step 6: Final answer
    x = 10,283.70

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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.