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Finding the Fourth Proportional to 21,337.75, 32,006.64 and 7,486.75

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Solution

The fourth proportional to 21,337.75, 32,006.64 and 7,486.75 is: 11,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.75 : 32,006.64 = 7,486.75 : x
  2. Step 2: Convert to fraction form
    21,337.75/32,006.64 = 7,486.75/x
  3. Step 3: Cross multiply
    21,337.75x = 32,006.64 × 7,486.75
  4. Step 4: Simplify right side
    21,337.75x = 239,625,712.02
  5. Step 5: Solve for x
    x = 239,625,712.02/21,337.75
  6. Step 6: Final answer
    x = 11,230.13

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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.