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Finding the Fourth Proportional to 13,013.10, 17,953.26 and 8,539.35

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Solution

The fourth proportional to 13,013.10, 17,953.26 and 8,539.35 is: 11,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.10 : 17,953.26 = 8,539.35 : x
  2. Step 2: Convert to fraction form
    13,013.10/17,953.26 = 8,539.35/x
  3. Step 3: Cross multiply
    13,013.10x = 17,953.26 × 8,539.35
  4. Step 4: Simplify right side
    13,013.10x = 153,309,170.78
  5. Step 5: Solve for x
    x = 153,309,170.78/13,013.10
  6. Step 6: Final answer
    x = 11,781.14

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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.