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Finding the Fourth Proportional to 22,807.98, 31,466.34 and 16,853.94

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Solution

The fourth proportional to 22,807.98, 31,466.34 and 16,853.94 is: 23,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.98 : 31,466.34 = 16,853.94 : x
  2. Step 2: Convert to fraction form
    22,807.98/31,466.34 = 16,853.94/x
  3. Step 3: Cross multiply
    22,807.98x = 31,466.34 × 16,853.94
  4. Step 4: Simplify right side
    22,807.98x = 530,331,806.38
  5. Step 5: Solve for x
    x = 530,331,806.38/22,807.98
  6. Step 6: Final answer
    x = 23,252.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.