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Finding the Fourth Proportional to 22,926.53, 31,609 and 14,845.82

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Solution

The fourth proportional to 22,926.53, 31,609 and 14,845.82 is: 20,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926.53 : 31,609 = 14,845.82 : x
  2. Step 2: Convert to fraction form
    22,926.53/31,609 = 14,845.82/x
  3. Step 3: Cross multiply
    22,926.53x = 31,609 × 14,845.82
  4. Step 4: Simplify right side
    22,926.53x = 469,261,524.38
  5. Step 5: Solve for x
    x = 469,261,524.38/22,926.53
  6. Step 6: Final answer
    x = 20,468.06

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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.