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Finding the Fourth Proportional to 22,927.68, 31,644.24 and 13,368.96

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Solution

The fourth proportional to 22,927.68, 31,644.24 and 13,368.96 is: 18,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.68 : 31,644.24 = 13,368.96 : x
  2. Step 2: Convert to fraction form
    22,927.68/31,644.24 = 13,368.96/x
  3. Step 3: Cross multiply
    22,927.68x = 31,644.24 × 13,368.96
  4. Step 4: Simplify right side
    22,927.68x = 423,050,578.79
  5. Step 5: Solve for x
    x = 423,050,578.79/22,927.68
  6. Step 6: Final answer
    x = 18,451.52

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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.