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Finding the Fourth Proportional to 13,220.82, 18,244.71 and 7,252.47

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Solution

The fourth proportional to 13,220.82, 18,244.71 and 7,252.47 is: 10,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.82 : 18,244.71 = 7,252.47 : x
  2. Step 2: Convert to fraction form
    13,220.82/18,244.71 = 7,252.47/x
  3. Step 3: Cross multiply
    13,220.82x = 18,244.71 × 7,252.47
  4. Step 4: Simplify right side
    13,220.82x = 132,319,211.93
  5. Step 5: Solve for x
    x = 132,319,211.93/13,220.82
  6. Step 6: Final answer
    x = 10,008.40

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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.