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Finding the Fourth Proportional to 22,773.44, 31,429.42 and 13,823.22

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Solution

The fourth proportional to 22,773.44, 31,429.42 and 13,823.22 is: 19,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.44 : 31,429.42 = 13,823.22 : x
  2. Step 2: Convert to fraction form
    22,773.44/31,429.42 = 13,823.22/x
  3. Step 3: Cross multiply
    22,773.44x = 31,429.42 × 13,823.22
  4. Step 4: Simplify right side
    22,773.44x = 434,455,787.13
  5. Step 5: Solve for x
    x = 434,455,787.13/22,773.44
  6. Step 6: Final answer
    x = 19,077.30

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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.