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Finding the Fourth Proportional to 21,194.01, 31,638.65 and 19,656.09

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Solution

The fourth proportional to 21,194.01, 31,638.65 and 19,656.09 is: 29,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.01 : 31,638.65 = 19,656.09 : x
  2. Step 2: Convert to fraction form
    21,194.01/31,638.65 = 19,656.09/x
  3. Step 3: Cross multiply
    21,194.01x = 31,638.65 × 19,656.09
  4. Step 4: Simplify right side
    21,194.01x = 621,892,053.60
  5. Step 5: Solve for x
    x = 621,892,053.60/21,194.01
  6. Step 6: Final answer
    x = 29,342.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.