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Finding the Fourth Proportional to 13,013.84, 17,959.34 and 7,640.12

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Solution

The fourth proportional to 13,013.84, 17,959.34 and 7,640.12 is: 10,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.84 : 17,959.34 = 7,640.12 : x
  2. Step 2: Convert to fraction form
    13,013.84/17,959.34 = 7,640.12/x
  3. Step 3: Cross multiply
    13,013.84x = 17,959.34 × 7,640.12
  4. Step 4: Simplify right side
    13,013.84x = 137,211,512.72
  5. Step 5: Solve for x
    x = 137,211,512.72/13,013.84
  6. Step 6: Final answer
    x = 10,543.51

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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.