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Finding the Fourth Proportional to 22,437.78, 33,659.58 and 7,642.74

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Solution

The fourth proportional to 22,437.78, 33,659.58 and 7,642.74 is: 11,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437.78 : 33,659.58 = 7,642.74 : x
  2. Step 2: Convert to fraction form
    22,437.78/33,659.58 = 7,642.74/x
  3. Step 3: Cross multiply
    22,437.78x = 33,659.58 × 7,642.74
  4. Step 4: Simplify right side
    22,437.78x = 257,251,418.45
  5. Step 5: Solve for x
    x = 257,251,418.45/22,437.78
  6. Step 6: Final answer
    x = 11,465.10

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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.