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Finding the Fourth Proportional to 22,930.42, 31,644.09 and 14,967.94

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Solution

The fourth proportional to 22,930.42, 31,644.09 and 14,967.94 is: 20,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.42 : 31,644.09 = 14,967.94 : x
  2. Step 2: Convert to fraction form
    22,930.42/31,644.09 = 14,967.94/x
  3. Step 3: Cross multiply
    22,930.42x = 31,644.09 × 14,967.94
  4. Step 4: Simplify right side
    22,930.42x = 473,646,840.47
  5. Step 5: Solve for x
    x = 473,646,840.47/22,930.42
  6. Step 6: Final answer
    x = 20,655.83

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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.