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Finding the Fourth Proportional to 21,575.77, 29,759.22 and 14,402.06

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Solution

The fourth proportional to 21,575.77, 29,759.22 and 14,402.06 is: 19,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.77 : 29,759.22 = 14,402.06 : x
  2. Step 2: Convert to fraction form
    21,575.77/29,759.22 = 14,402.06/x
  3. Step 3: Cross multiply
    21,575.77x = 29,759.22 × 14,402.06
  4. Step 4: Simplify right side
    21,575.77x = 428,594,092.38
  5. Step 5: Solve for x
    x = 428,594,092.38/21,575.77
  6. Step 6: Final answer
    x = 19,864.60

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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.