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Finding the Fourth Proportional to 22,803.68, 31,468.78 and 12,732.29

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Solution

The fourth proportional to 22,803.68, 31,468.78 and 12,732.29 is: 17,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.68 : 31,468.78 = 12,732.29 : x
  2. Step 2: Convert to fraction form
    22,803.68/31,468.78 = 12,732.29/x
  3. Step 3: Cross multiply
    22,803.68x = 31,468.78 × 12,732.29
  4. Step 4: Simplify right side
    22,803.68x = 400,669,727.49
  5. Step 5: Solve for x
    x = 400,669,727.49/22,803.68
  6. Step 6: Final answer
    x = 17,570.40

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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.