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Finding the Fourth Proportional to 21,536.93, 32,305.37 and 6,747.00

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Solution

The fourth proportional to 21,536.93, 32,305.37 and 6,747.00 is: 10,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.93 : 32,305.37 = 6,747.00 : x
  2. Step 2: Convert to fraction form
    21,536.93/32,305.37 = 6,747.00/x
  3. Step 3: Cross multiply
    21,536.93x = 32,305.37 × 6,747.00
  4. Step 4: Simplify right side
    21,536.93x = 217,964,176.51
  5. Step 5: Solve for x
    x = 217,964,176.51/21,536.93
  6. Step 6: Final answer
    x = 10,120.49

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Why These Related Problems?

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