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Finding the Fourth Proportional to 13,014.06, 17,959.38 and 7,045.71

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Solution

The fourth proportional to 13,014.06, 17,959.38 and 7,045.71 is: 9,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.06 : 17,959.38 = 7,045.71 : x
  2. Step 2: Convert to fraction form
    13,014.06/17,959.38 = 7,045.71/x
  3. Step 3: Cross multiply
    13,014.06x = 17,959.38 × 7,045.71
  4. Step 4: Simplify right side
    13,014.06x = 126,536,583.26
  5. Step 5: Solve for x
    x = 126,536,583.26/13,014.06
  6. Step 6: Final answer
    x = 9,723.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.