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Finding the Fourth Proportional to 22,078.14, 30,468.51 and 12,007.32

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Solution

The fourth proportional to 22,078.14, 30,468.51 and 12,007.32 is: 16,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.14 : 30,468.51 = 12,007.32 : x
  2. Step 2: Convert to fraction form
    22,078.14/30,468.51 = 12,007.32/x
  3. Step 3: Cross multiply
    22,078.14x = 30,468.51 × 12,007.32
  4. Step 4: Simplify right side
    22,078.14x = 365,845,149.49
  5. Step 5: Solve for x
    x = 365,845,149.49/22,078.14
  6. Step 6: Final answer
    x = 16,570.47

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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.