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Finding the Fourth Proportional to 10,202.69, 15,302.24 and 2,805.36

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Solution

The fourth proportional to 10,202.69, 15,302.24 and 2,805.36 is: 4,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.69 : 15,302.24 = 2,805.36 : x
  2. Step 2: Convert to fraction form
    10,202.69/15,302.24 = 2,805.36/x
  3. Step 3: Cross multiply
    10,202.69x = 15,302.24 × 2,805.36
  4. Step 4: Simplify right side
    10,202.69x = 42,928,277.98
  5. Step 5: Solve for x
    x = 42,928,277.98/10,202.69
  6. Step 6: Final answer
    x = 4,207.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.