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Finding the Fourth Proportional to 13,781.76, 19,013.76 and 8,816.64

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Solution

The fourth proportional to 13,781.76, 19,013.76 and 8,816.64 is: 12,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.76 : 19,013.76 = 8,816.64 : x
  2. Step 2: Convert to fraction form
    13,781.76/19,013.76 = 8,816.64/x
  3. Step 3: Cross multiply
    13,781.76x = 19,013.76 × 8,816.64
  4. Step 4: Simplify right side
    13,781.76x = 167,637,476.97
  5. Step 5: Solve for x
    x = 167,637,476.97/13,781.76
  6. Step 6: Final answer
    x = 12,163.72

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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.