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Finding the Fourth Proportional to 22,670.80, 34,007.34 and 16,078.16

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Solution

The fourth proportional to 22,670.80, 34,007.34 and 16,078.16 is: 24,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.80 : 34,007.34 = 16,078.16 : x
  2. Step 2: Convert to fraction form
    22,670.80/34,007.34 = 16,078.16/x
  3. Step 3: Cross multiply
    22,670.80x = 34,007.34 × 16,078.16
  4. Step 4: Simplify right side
    22,670.80x = 546,775,453.69
  5. Step 5: Solve for x
    x = 546,775,453.69/22,670.80
  6. Step 6: Final answer
    x = 24,118.05

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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.