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Finding the Fourth Proportional to 12,706.20, 17,534.74 and 7,117.24

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Solution

The fourth proportional to 12,706.20, 17,534.74 and 7,117.24 is: 9,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.20 : 17,534.74 = 7,117.24 : x
  2. Step 2: Convert to fraction form
    12,706.20/17,534.74 = 7,117.24/x
  3. Step 3: Cross multiply
    12,706.20x = 17,534.74 × 7,117.24
  4. Step 4: Simplify right side
    12,706.20x = 124,798,952.92
  5. Step 5: Solve for x
    x = 124,798,952.92/12,706.20
  6. Step 6: Final answer
    x = 9,821.89

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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.