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Finding the Fourth Proportional to 13,647.84, 18,826.80 and 8,342.88

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Solution

The fourth proportional to 13,647.84, 18,826.80 and 8,342.88 is: 11,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.84 : 18,826.80 = 8,342.88 : x
  2. Step 2: Convert to fraction form
    13,647.84/18,826.80 = 8,342.88/x
  3. Step 3: Cross multiply
    13,647.84x = 18,826.80 × 8,342.88
  4. Step 4: Simplify right side
    13,647.84x = 157,069,733.18
  5. Step 5: Solve for x
    x = 157,069,733.18/13,647.84
  6. Step 6: Final answer
    x = 11,508.76

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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.