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Finding the Fourth Proportional to 12,870.90, 17,760.96 and 7,204.68

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Solution

The fourth proportional to 12,870.90, 17,760.96 and 7,204.68 is: 9,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.90 : 17,760.96 = 7,204.68 : x
  2. Step 2: Convert to fraction form
    12,870.90/17,760.96 = 7,204.68/x
  3. Step 3: Cross multiply
    12,870.90x = 17,760.96 × 7,204.68
  4. Step 4: Simplify right side
    12,870.90x = 127,962,033.29
  5. Step 5: Solve for x
    x = 127,962,033.29/12,870.90
  6. Step 6: Final answer
    x = 9,941.96

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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.