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Finding the Fourth Proportional to 22,846.04, 31,529.16 and 13,891.88

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Solution

The fourth proportional to 22,846.04, 31,529.16 and 13,891.88 is: 19,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.04 : 31,529.16 = 13,891.88 : x
  2. Step 2: Convert to fraction form
    22,846.04/31,529.16 = 13,891.88/x
  3. Step 3: Cross multiply
    22,846.04x = 31,529.16 × 13,891.88
  4. Step 4: Simplify right side
    22,846.04x = 437,999,307.22
  5. Step 5: Solve for x
    x = 437,999,307.22/22,846.04
  6. Step 6: Final answer
    x = 19,171.78

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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.