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Finding the Fourth Proportional to 22,342.64, 30,847.29 and 13,853.78

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Solution

The fourth proportional to 22,342.64, 30,847.29 and 13,853.78 is: 19,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.64 : 30,847.29 = 13,853.78 : x
  2. Step 2: Convert to fraction form
    22,342.64/30,847.29 = 13,853.78/x
  3. Step 3: Cross multiply
    22,342.64x = 30,847.29 × 13,853.78
  4. Step 4: Simplify right side
    22,342.64x = 427,351,569.26
  5. Step 5: Solve for x
    x = 427,351,569.26/22,342.64
  6. Step 6: Final answer
    x = 19,127.17

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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.