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Finding the Fourth Proportional to 25,560.24, 38,346.06 and 9,978

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Solution

The fourth proportional to 25,560.24, 38,346.06 and 9,978 is: 14,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,560.24 : 38,346.06 = 9,978 : x
  2. Step 2: Convert to fraction form
    25,560.24/38,346.06 = 9,978/x
  3. Step 3: Cross multiply
    25,560.24x = 38,346.06 × 9,978
  4. Step 4: Simplify right side
    25,560.24x = 382,616,986.68
  5. Step 5: Solve for x
    x = 382,616,986.68/25,560.24
  6. Step 6: Final answer
    x = 14,969.23

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Why These Related Problems?

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