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Finding the Fourth Proportional to 22,896.32, 31,599.58 and 13,949.08

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Solution

The fourth proportional to 22,896.32, 31,599.58 and 13,949.08 is: 19,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.32 : 31,599.58 = 13,949.08 : x
  2. Step 2: Convert to fraction form
    22,896.32/31,599.58 = 13,949.08/x
  3. Step 3: Cross multiply
    22,896.32x = 31,599.58 × 13,949.08
  4. Step 4: Simplify right side
    22,896.32x = 440,785,069.39
  5. Step 5: Solve for x
    x = 440,785,069.39/22,896.32
  6. Step 6: Final answer
    x = 19,251.35

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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.