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Finding the Fourth Proportional to 22,596, 31,182.48 and 13,764

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Solution

The fourth proportional to 22,596, 31,182.48 and 13,764 is: 18,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 31,182.48 = 13,764 : x
  2. Step 2: Convert to fraction form
    22,596/31,182.48 = 13,764/x
  3. Step 3: Cross multiply
    22,596x = 31,182.48 × 13,764
  4. Step 4: Simplify right side
    22,596x = 429,195,654.72
  5. Step 5: Solve for x
    x = 429,195,654.72/22,596
  6. Step 6: Final answer
    x = 18,994.32

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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.