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Finding the Fourth Proportional to 22,935.60, 34,406.81 and 8,143.28

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Solution

The fourth proportional to 22,935.60, 34,406.81 and 8,143.28 is: 12,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.60 : 34,406.81 = 8,143.28 : x
  2. Step 2: Convert to fraction form
    22,935.60/34,406.81 = 8,143.28/x
  3. Step 3: Cross multiply
    22,935.60x = 34,406.81 × 8,143.28
  4. Step 4: Simplify right side
    22,935.60x = 280,184,287.74
  5. Step 5: Solve for x
    x = 280,184,287.74/22,935.60
  6. Step 6: Final answer
    x = 12,216.13

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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.