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Finding the Fourth Proportional to 22,037, 33,055.54 and 6,454.64

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Solution

The fourth proportional to 22,037, 33,055.54 and 6,454.64 is: 9,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 33,055.54 = 6,454.64 : x
  2. Step 2: Convert to fraction form
    22,037/33,055.54 = 6,454.64/x
  3. Step 3: Cross multiply
    22,037x = 33,055.54 × 6,454.64
  4. Step 4: Simplify right side
    22,037x = 213,361,610.71
  5. Step 5: Solve for x
    x = 213,361,610.71/22,037
  6. Step 6: Final answer
    x = 9,681.97

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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.