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Finding the Fourth Proportional to 12,706.67, 17,551.92 and 9,758.92

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Solution

The fourth proportional to 12,706.67, 17,551.92 and 9,758.92 is: 13,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.67 : 17,551.92 = 9,758.92 : x
  2. Step 2: Convert to fraction form
    12,706.67/17,551.92 = 9,758.92/x
  3. Step 3: Cross multiply
    12,706.67x = 17,551.92 × 9,758.92
  4. Step 4: Simplify right side
    12,706.67x = 171,287,783.13
  5. Step 5: Solve for x
    x = 171,287,783.13/12,706.67
  6. Step 6: Final answer
    x = 13,480.15

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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.