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Finding the Fourth Proportional to 13,456.80, 18,568.22 and 7,488.44

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Solution

The fourth proportional to 13,456.80, 18,568.22 and 7,488.44 is: 10,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.80 : 18,568.22 = 7,488.44 : x
  2. Step 2: Convert to fraction form
    13,456.80/18,568.22 = 7,488.44/x
  3. Step 3: Cross multiply
    13,456.80x = 18,568.22 × 7,488.44
  4. Step 4: Simplify right side
    13,456.80x = 139,047,001.38
  5. Step 5: Solve for x
    x = 139,047,001.38/13,456.80
  6. Step 6: Final answer
    x = 10,332.84

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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.