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Finding the Fourth Proportional to 15,852.20, 21,876.00 and 9,137.78

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Solution

The fourth proportional to 15,852.20, 21,876.00 and 9,137.78 is: 12,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.20 : 21,876.00 = 9,137.78 : x
  2. Step 2: Convert to fraction form
    15,852.20/21,876.00 = 9,137.78/x
  3. Step 3: Cross multiply
    15,852.20x = 21,876.00 × 9,137.78
  4. Step 4: Simplify right side
    15,852.20x = 199,898,029.59
  5. Step 5: Solve for x
    x = 199,898,029.59/15,852.20
  6. Step 6: Final answer
    x = 12,610.11

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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.