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Finding the Fourth Proportional to 12,830.62, 17,706.06 and 7,165.46

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Solution

The fourth proportional to 12,830.62, 17,706.06 and 7,165.46 is: 9,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.62 : 17,706.06 = 7,165.46 : x
  2. Step 2: Convert to fraction form
    12,830.62/17,706.06 = 7,165.46/x
  3. Step 3: Cross multiply
    12,830.62x = 17,706.06 × 7,165.46
  4. Step 4: Simplify right side
    12,830.62x = 126,872,064.69
  5. Step 5: Solve for x
    x = 126,872,064.69/12,830.62
  6. Step 6: Final answer
    x = 9,888.23

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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.