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Finding the Fourth Proportional to 17,924.25, 26,886.39 and 7,536

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Solution

The fourth proportional to 17,924.25, 26,886.39 and 7,536 is: 11,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.25 : 26,886.39 = 7,536 : x
  2. Step 2: Convert to fraction form
    17,924.25/26,886.39 = 7,536/x
  3. Step 3: Cross multiply
    17,924.25x = 26,886.39 × 7,536
  4. Step 4: Simplify right side
    17,924.25x = 202,615,835.04
  5. Step 5: Solve for x
    x = 202,615,835.04/17,924.25
  6. Step 6: Final answer
    x = 11,304.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.