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Finding the Fourth Proportional to 12,004.15, 17,963.70 and 10,461.10

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Solution

The fourth proportional to 12,004.15, 17,963.70 and 10,461.10 is: 15,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.15 : 17,963.70 = 10,461.10 : x
  2. Step 2: Convert to fraction form
    12,004.15/17,963.70 = 10,461.10/x
  3. Step 3: Cross multiply
    12,004.15x = 17,963.70 × 10,461.10
  4. Step 4: Simplify right side
    12,004.15x = 187,920,062.07
  5. Step 5: Solve for x
    x = 187,920,062.07/12,004.15
  6. Step 6: Final answer
    x = 15,654.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.