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Finding the Fourth Proportional to 21,894.17, 32,845.87 and 7,101.93

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Solution

The fourth proportional to 21,894.17, 32,845.87 and 7,101.93 is: 10,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.17 : 32,845.87 = 7,101.93 : x
  2. Step 2: Convert to fraction form
    21,894.17/32,845.87 = 7,101.93/x
  3. Step 3: Cross multiply
    21,894.17x = 32,845.87 × 7,101.93
  4. Step 4: Simplify right side
    21,894.17x = 233,269,034.02
  5. Step 5: Solve for x
    x = 233,269,034.02/21,894.17
  6. Step 6: Final answer
    x = 10,654.39

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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.