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Finding the Fourth Proportional to 22,760.64, 34,137.12 and 7,176

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Solution

The fourth proportional to 22,760.64, 34,137.12 and 7,176 is: 10,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.64 : 34,137.12 = 7,176 : x
  2. Step 2: Convert to fraction form
    22,760.64/34,137.12 = 7,176/x
  3. Step 3: Cross multiply
    22,760.64x = 34,137.12 × 7,176
  4. Step 4: Simplify right side
    22,760.64x = 244,967,973.12
  5. Step 5: Solve for x
    x = 244,967,973.12/22,760.64
  6. Step 6: Final answer
    x = 10,762.79

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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.