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Finding the Fourth Proportional to 25,334.75, 38,002.26 and 6,866.75

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Solution

The fourth proportional to 25,334.75, 38,002.26 and 6,866.75 is: 10,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.75 : 38,002.26 = 6,866.75 : x
  2. Step 2: Convert to fraction form
    25,334.75/38,002.26 = 6,866.75/x
  3. Step 3: Cross multiply
    25,334.75x = 38,002.26 × 6,866.75
  4. Step 4: Simplify right side
    25,334.75x = 260,952,018.86
  5. Step 5: Solve for x
    x = 260,952,018.86/25,334.75
  6. Step 6: Final answer
    x = 10,300.16

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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.