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Finding the Fourth Proportional to 12,766.90, 17,620.43 and 7,460.69

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Solution

The fourth proportional to 12,766.90, 17,620.43 and 7,460.69 is: 10,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.90 : 17,620.43 = 7,460.69 : x
  2. Step 2: Convert to fraction form
    12,766.90/17,620.43 = 7,460.69/x
  3. Step 3: Cross multiply
    12,766.90x = 17,620.43 × 7,460.69
  4. Step 4: Simplify right side
    12,766.90x = 131,460,565.90
  5. Step 5: Solve for x
    x = 131,460,565.90/12,766.90
  6. Step 6: Final answer
    x = 10,296.98

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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.