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Finding the Fourth Proportional to 22,078.47, 30,474.86 and 12,653.31

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Solution

The fourth proportional to 22,078.47, 30,474.86 and 12,653.31 is: 17,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.47 : 30,474.86 = 12,653.31 : x
  2. Step 2: Convert to fraction form
    22,078.47/30,474.86 = 12,653.31/x
  3. Step 3: Cross multiply
    22,078.47x = 30,474.86 × 12,653.31
  4. Step 4: Simplify right side
    22,078.47x = 385,607,850.79
  5. Step 5: Solve for x
    x = 385,607,850.79/22,078.47
  6. Step 6: Final answer
    x = 17,465.33

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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.