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Finding the Fourth Proportional to 13,013.94, 17,959.28 and 7,045.68

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Solution

The fourth proportional to 13,013.94, 17,959.28 and 7,045.68 is: 9,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.94 : 17,959.28 = 7,045.68 : x
  2. Step 2: Convert to fraction form
    13,013.94/17,959.28 = 7,045.68/x
  3. Step 3: Cross multiply
    13,013.94x = 17,959.28 × 7,045.68
  4. Step 4: Simplify right side
    13,013.94x = 126,535,339.91
  5. Step 5: Solve for x
    x = 126,535,339.91/13,013.94
  6. Step 6: Final answer
    x = 9,723.06

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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.