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Finding the Fourth Proportional to 21,897.22, 32,845.82 and 6,101.60

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Solution

The fourth proportional to 21,897.22, 32,845.82 and 6,101.60 is: 9,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.22 : 32,845.82 = 6,101.60 : x
  2. Step 2: Convert to fraction form
    21,897.22/32,845.82 = 6,101.60/x
  3. Step 3: Cross multiply
    21,897.22x = 32,845.82 × 6,101.60
  4. Step 4: Simplify right side
    21,897.22x = 200,412,055.31
  5. Step 5: Solve for x
    x = 200,412,055.31/21,897.22
  6. Step 6: Final answer
    x = 9,152.40

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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.