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Finding the Fourth Proportional to 13,902.12, 19,185.54 and 7,935.40

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Solution

The fourth proportional to 13,902.12, 19,185.54 and 7,935.40 is: 10,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.12 : 19,185.54 = 7,935.40 : x
  2. Step 2: Convert to fraction form
    13,902.12/19,185.54 = 7,935.40/x
  3. Step 3: Cross multiply
    13,902.12x = 19,185.54 × 7,935.40
  4. Step 4: Simplify right side
    13,902.12x = 152,244,934.12
  5. Step 5: Solve for x
    x = 152,244,934.12/13,902.12
  6. Step 6: Final answer
    x = 10,951.20

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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.