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Finding the Fourth Proportional to 21,677.13, 32,519.48 and 7,636.05

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Solution

The fourth proportional to 21,677.13, 32,519.48 and 7,636.05 is: 11,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.13 : 32,519.48 = 7,636.05 : x
  2. Step 2: Convert to fraction form
    21,677.13/32,519.48 = 7,636.05/x
  3. Step 3: Cross multiply
    21,677.13x = 32,519.48 × 7,636.05
  4. Step 4: Simplify right side
    21,677.13x = 248,320,337.07
  5. Step 5: Solve for x
    x = 248,320,337.07/21,677.13
  6. Step 6: Final answer
    x = 11,455.41

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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.