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Finding the Fourth Proportional to 12,615.88, 17,283.84 and 12,142.93

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Solution

The fourth proportional to 12,615.88, 17,283.84 and 12,142.93 is: 16,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.88 : 17,283.84 = 12,142.93 : x
  2. Step 2: Convert to fraction form
    12,615.88/17,283.84 = 12,142.93/x
  3. Step 3: Cross multiply
    12,615.88x = 17,283.84 × 12,142.93
  4. Step 4: Simplify right side
    12,615.88x = 209,876,398.54
  5. Step 5: Solve for x
    x = 209,876,398.54/12,615.88
  6. Step 6: Final answer
    x = 16,635.89

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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.