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Finding the Fourth Proportional to 13,780.24, 19,010.64 and 8,188

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Solution

The fourth proportional to 13,780.24, 19,010.64 and 8,188 is: 11,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.24 : 19,010.64 = 8,188 : x
  2. Step 2: Convert to fraction form
    13,780.24/19,010.64 = 8,188/x
  3. Step 3: Cross multiply
    13,780.24x = 19,010.64 × 8,188
  4. Step 4: Simplify right side
    13,780.24x = 155,659,120.32
  5. Step 5: Solve for x
    x = 155,659,120.32/13,780.24
  6. Step 6: Final answer
    x = 11,295.82

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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.