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Finding the Fourth Proportional to 27,761.22, 38,323 and 17,703.18

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Solution

The fourth proportional to 27,761.22, 38,323 and 17,703.18 is: 24,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.22 : 38,323 = 17,703.18 : x
  2. Step 2: Convert to fraction form
    27,761.22/38,323 = 17,703.18/x
  3. Step 3: Cross multiply
    27,761.22x = 38,323 × 17,703.18
  4. Step 4: Simplify right side
    27,761.22x = 678,438,967.14
  5. Step 5: Solve for x
    x = 678,438,967.14/27,761.22
  6. Step 6: Final answer
    x = 24,438.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.