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Finding the Fourth Proportional to 21,893.40, 32,830.11 and 7,848

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Solution

The fourth proportional to 21,893.40, 32,830.11 and 7,848 is: 11,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.40 : 32,830.11 = 7,848 : x
  2. Step 2: Convert to fraction form
    21,893.40/32,830.11 = 7,848/x
  3. Step 3: Cross multiply
    21,893.40x = 32,830.11 × 7,848
  4. Step 4: Simplify right side
    21,893.40x = 257,650,703.28
  5. Step 5: Solve for x
    x = 257,650,703.28/21,893.40
  6. Step 6: Final answer
    x = 11,768.42

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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.