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Finding the Fourth Proportional to 21,748.82, 32,614.01 and 7,712.38

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Solution

The fourth proportional to 21,748.82, 32,614.01 and 7,712.38 is: 11,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.82 : 32,614.01 = 7,712.38 : x
  2. Step 2: Convert to fraction form
    21,748.82/32,614.01 = 7,712.38/x
  3. Step 3: Cross multiply
    21,748.82x = 32,614.01 × 7,712.38
  4. Step 4: Simplify right side
    21,748.82x = 251,531,518.35
  5. Step 5: Solve for x
    x = 251,531,518.35/21,748.82
  6. Step 6: Final answer
    x = 11,565.29

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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.