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Finding the Fourth Proportional to 13,029.46, 17,980.18 and 7,061.00

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Solution

The fourth proportional to 13,029.46, 17,980.18 and 7,061.00 is: 9,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.46 : 17,980.18 = 7,061.00 : x
  2. Step 2: Convert to fraction form
    13,029.46/17,980.18 = 7,061.00/x
  3. Step 3: Cross multiply
    13,029.46x = 17,980.18 × 7,061.00
  4. Step 4: Simplify right side
    13,029.46x = 126,957,943.43
  5. Step 5: Solve for x
    x = 126,957,943.43/13,029.46
  6. Step 6: Final answer
    x = 9,743.92

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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.