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Finding the Fourth Proportional to 12,959.85, 17,868.24 and 8,476.50

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Solution

The fourth proportional to 12,959.85, 17,868.24 and 8,476.50 is: 11,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.85 : 17,868.24 = 8,476.50 : x
  2. Step 2: Convert to fraction form
    12,959.85/17,868.24 = 8,476.50/x
  3. Step 3: Cross multiply
    12,959.85x = 17,868.24 × 8,476.50
  4. Step 4: Simplify right side
    12,959.85x = 151,460,069.35
  5. Step 5: Solve for x
    x = 151,460,069.35/12,959.85
  6. Step 6: Final answer
    x = 11,686.87

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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.