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Finding the Fourth Proportional to 13,902.80, 19,186.34 and 7,615.17

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Solution

The fourth proportional to 13,902.80, 19,186.34 and 7,615.17 is: 10,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.80 : 19,186.34 = 7,615.17 : x
  2. Step 2: Convert to fraction form
    13,902.80/19,186.34 = 7,615.17/x
  3. Step 3: Cross multiply
    13,902.80x = 19,186.34 × 7,615.17
  4. Step 4: Simplify right side
    13,902.80x = 146,107,202.70
  5. Step 5: Solve for x
    x = 146,107,202.70/13,902.80
  6. Step 6: Final answer
    x = 10,509.20

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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.