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Finding the Fourth Proportional to 22,447.76, 33,670.62 and 6,652.08

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Solution

The fourth proportional to 22,447.76, 33,670.62 and 6,652.08 is: 9,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.76 : 33,670.62 = 6,652.08 : x
  2. Step 2: Convert to fraction form
    22,447.76/33,670.62 = 6,652.08/x
  3. Step 3: Cross multiply
    22,447.76x = 33,670.62 × 6,652.08
  4. Step 4: Simplify right side
    22,447.76x = 223,979,657.89
  5. Step 5: Solve for x
    x = 223,979,657.89/22,447.76
  6. Step 6: Final answer
    x = 9,977.82

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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.