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Finding the Fourth Proportional to 13,902.54, 19,185.12 and 7,934.10

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Solution

The fourth proportional to 13,902.54, 19,185.12 and 7,934.10 is: 10,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.54 : 19,185.12 = 7,934.10 : x
  2. Step 2: Convert to fraction form
    13,902.54/19,185.12 = 7,934.10/x
  3. Step 3: Cross multiply
    13,902.54x = 19,185.12 × 7,934.10
  4. Step 4: Simplify right side
    13,902.54x = 152,216,660.59
  5. Step 5: Solve for x
    x = 152,216,660.59/13,902.54
  6. Step 6: Final answer
    x = 10,948.84

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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.