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Finding the Fourth Proportional to 13,868.64, 19,138.80 and 8,278.24

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Solution

The fourth proportional to 13,868.64, 19,138.80 and 8,278.24 is: 11,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.64 : 19,138.80 = 8,278.24 : x
  2. Step 2: Convert to fraction form
    13,868.64/19,138.80 = 8,278.24/x
  3. Step 3: Cross multiply
    13,868.64x = 19,138.80 × 8,278.24
  4. Step 4: Simplify right side
    13,868.64x = 158,435,579.71
  5. Step 5: Solve for x
    x = 158,435,579.71/13,868.64
  6. Step 6: Final answer
    x = 11,424.02

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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.