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Finding the Fourth Proportional to 13,182.78, 18,196.47 and 8,710.50

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Solution

The fourth proportional to 13,182.78, 18,196.47 and 8,710.50 is: 12,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.78 : 18,196.47 = 8,710.50 : x
  2. Step 2: Convert to fraction form
    13,182.78/18,196.47 = 8,710.50/x
  3. Step 3: Cross multiply
    13,182.78x = 18,196.47 × 8,710.50
  4. Step 4: Simplify right side
    13,182.78x = 158,500,351.94
  5. Step 5: Solve for x
    x = 158,500,351.94/13,182.78
  6. Step 6: Final answer
    x = 12,023.29

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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.