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Finding the Fourth Proportional to 13,900.82, 19,182.84 and 7,931.52

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Solution

The fourth proportional to 13,900.82, 19,182.84 and 7,931.52 is: 10,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.82 : 19,182.84 = 7,931.52 : x
  2. Step 2: Convert to fraction form
    13,900.82/19,182.84 = 7,931.52/x
  3. Step 3: Cross multiply
    13,900.82x = 19,182.84 × 7,931.52
  4. Step 4: Simplify right side
    13,900.82x = 152,149,079.12
  5. Step 5: Solve for x
    x = 152,149,079.12/13,900.82
  6. Step 6: Final answer
    x = 10,945.34

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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.