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Finding the Fourth Proportional to 13,029.53, 17,980.83 and 7,061.18

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Solution

The fourth proportional to 13,029.53, 17,980.83 and 7,061.18 is: 9,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.53 : 17,980.83 = 7,061.18 : x
  2. Step 2: Convert to fraction form
    13,029.53/17,980.83 = 7,061.18/x
  3. Step 3: Cross multiply
    13,029.53x = 17,980.83 × 7,061.18
  4. Step 4: Simplify right side
    13,029.53x = 126,965,787.28
  5. Step 5: Solve for x
    x = 126,965,787.28/13,029.53
  6. Step 6: Final answer
    x = 9,744.47

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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.