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Finding the Fourth Proportional to 12,615.74, 17,283.66 and 12,142.80

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Solution

The fourth proportional to 12,615.74, 17,283.66 and 12,142.80 is: 16,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.74 : 17,283.66 = 12,142.80 : x
  2. Step 2: Convert to fraction form
    12,615.74/17,283.66 = 12,142.80/x
  3. Step 3: Cross multiply
    12,615.74x = 17,283.66 × 12,142.80
  4. Step 4: Simplify right side
    12,615.74x = 209,872,026.65
  5. Step 5: Solve for x
    x = 209,872,026.65/12,615.74
  6. Step 6: Final answer
    x = 16,635.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.