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Finding the Fourth Proportional to 13,817.77, 19,070.97 and 8,152.18

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Solution

The fourth proportional to 13,817.77, 19,070.97 and 8,152.18 is: 11,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.77 : 19,070.97 = 8,152.18 : x
  2. Step 2: Convert to fraction form
    13,817.77/19,070.97 = 8,152.18/x
  3. Step 3: Cross multiply
    13,817.77x = 19,070.97 × 8,152.18
  4. Step 4: Simplify right side
    13,817.77x = 155,469,980.21
  5. Step 5: Solve for x
    x = 155,469,980.21/13,817.77
  6. Step 6: Final answer
    x = 11,251.45

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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.