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Finding the Fourth Proportional to 21,892.75, 32,830.62 and 7,098.10

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Solution

The fourth proportional to 21,892.75, 32,830.62 and 7,098.10 is: 10,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.75 : 32,830.62 = 7,098.10 : x
  2. Step 2: Convert to fraction form
    21,892.75/32,830.62 = 7,098.10/x
  3. Step 3: Cross multiply
    21,892.75x = 32,830.62 × 7,098.10
  4. Step 4: Simplify right side
    21,892.75x = 233,035,023.82
  5. Step 5: Solve for x
    x = 233,035,023.82/21,892.75
  6. Step 6: Final answer
    x = 10,644.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.