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Finding the Fourth Proportional to 21,833.91, 32,723.48 and 9,339.26

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Solution

The fourth proportional to 21,833.91, 32,723.48 and 9,339.26 is: 13,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.91 : 32,723.48 = 9,339.26 : x
  2. Step 2: Convert to fraction form
    21,833.91/32,723.48 = 9,339.26/x
  3. Step 3: Cross multiply
    21,833.91x = 32,723.48 × 9,339.26
  4. Step 4: Simplify right side
    21,833.91x = 305,612,877.51
  5. Step 5: Solve for x
    x = 305,612,877.51/21,833.91
  6. Step 6: Final answer
    x = 13,997.17

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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.