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Finding the Fourth Proportional to 13,844.93, 19,106.01 and 7,876.17

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Solution

The fourth proportional to 13,844.93, 19,106.01 and 7,876.17 is: 10,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.93 : 19,106.01 = 7,876.17 : x
  2. Step 2: Convert to fraction form
    13,844.93/19,106.01 = 7,876.17/x
  3. Step 3: Cross multiply
    13,844.93x = 19,106.01 × 7,876.17
  4. Step 4: Simplify right side
    13,844.93x = 150,482,182.78
  5. Step 5: Solve for x
    x = 150,482,182.78/13,844.93
  6. Step 6: Final answer
    x = 10,869.12

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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.