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Finding the Fourth Proportional to 22,078.47, 30,468.04 and 16,438.44

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Solution

The fourth proportional to 22,078.47, 30,468.04 and 16,438.44 is: 22,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.47 : 30,468.04 = 16,438.44 : x
  2. Step 2: Convert to fraction form
    22,078.47/30,468.04 = 16,438.44/x
  3. Step 3: Cross multiply
    22,078.47x = 30,468.04 × 16,438.44
  4. Step 4: Simplify right side
    22,078.47x = 500,847,047.46
  5. Step 5: Solve for x
    x = 500,847,047.46/22,078.47
  6. Step 6: Final answer
    x = 22,684.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.