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Finding the Fourth Proportional to 12,521.93, 17,272.85 and 7,805.30

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Solution

The fourth proportional to 12,521.93, 17,272.85 and 7,805.30 is: 10,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.93 : 17,272.85 = 7,805.30 : x
  2. Step 2: Convert to fraction form
    12,521.93/17,272.85 = 7,805.30/x
  3. Step 3: Cross multiply
    12,521.93x = 17,272.85 × 7,805.30
  4. Step 4: Simplify right side
    12,521.93x = 134,819,650.71
  5. Step 5: Solve for x
    x = 134,819,650.71/12,521.93
  6. Step 6: Final answer
    x = 10,766.69

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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.