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Finding the Fourth Proportional to 23,870.66, 35,803.22 and 6,341.85

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Solution

The fourth proportional to 23,870.66, 35,803.22 and 6,341.85 is: 9,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.66 : 35,803.22 = 6,341.85 : x
  2. Step 2: Convert to fraction form
    23,870.66/35,803.22 = 6,341.85/x
  3. Step 3: Cross multiply
    23,870.66x = 35,803.22 × 6,341.85
  4. Step 4: Simplify right side
    23,870.66x = 227,058,619.05
  5. Step 5: Solve for x
    x = 227,058,619.05/23,870.66
  6. Step 6: Final answer
    x = 9,512.04

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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.