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Finding the Fourth Proportional to 13,900.32, 19,184.40 and 7,932.48

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Solution

The fourth proportional to 13,900.32, 19,184.40 and 7,932.48 is: 10,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.32 : 19,184.40 = 7,932.48 : x
  2. Step 2: Convert to fraction form
    13,900.32/19,184.40 = 7,932.48/x
  3. Step 3: Cross multiply
    13,900.32x = 19,184.40 × 7,932.48
  4. Step 4: Simplify right side
    13,900.32x = 152,179,869.31
  5. Step 5: Solve for x
    x = 152,179,869.31/13,900.32
  6. Step 6: Final answer
    x = 10,947.94

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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.