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Finding the Fourth Proportional to 13,085.31, 18,057.85 and 7,117.10

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Solution

The fourth proportional to 13,085.31, 18,057.85 and 7,117.10 is: 9,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.31 : 18,057.85 = 7,117.10 : x
  2. Step 2: Convert to fraction form
    13,085.31/18,057.85 = 7,117.10/x
  3. Step 3: Cross multiply
    13,085.31x = 18,057.85 × 7,117.10
  4. Step 4: Simplify right side
    13,085.31x = 128,519,524.24
  5. Step 5: Solve for x
    x = 128,519,524.24/13,085.31
  6. Step 6: Final answer
    x = 9,821.66

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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.