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Finding the Fourth Proportional to 22,855.16, 31,523.18 and 16,133.78

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Solution

The fourth proportional to 22,855.16, 31,523.18 and 16,133.78 is: 22,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.16 : 31,523.18 = 16,133.78 : x
  2. Step 2: Convert to fraction form
    22,855.16/31,523.18 = 16,133.78/x
  3. Step 3: Cross multiply
    22,855.16x = 31,523.18 × 16,133.78
  4. Step 4: Simplify right side
    22,855.16x = 508,588,049.16
  5. Step 5: Solve for x
    x = 508,588,049.16/22,855.16
  6. Step 6: Final answer
    x = 22,252.66

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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.