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Finding the Fourth Proportional to 22,866.68, 31,549.02 and 14,906

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Solution

The fourth proportional to 22,866.68, 31,549.02 and 14,906 is: 20,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.68 : 31,549.02 = 14,906 : x
  2. Step 2: Convert to fraction form
    22,866.68/31,549.02 = 14,906/x
  3. Step 3: Cross multiply
    22,866.68x = 31,549.02 × 14,906
  4. Step 4: Simplify right side
    22,866.68x = 470,269,692.12
  5. Step 5: Solve for x
    x = 470,269,692.12/22,866.68
  6. Step 6: Final answer
    x = 20,565.72

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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.