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Finding the Fourth Proportional to 21,614.72, 32,402.64 and 7,760.48

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Solution

The fourth proportional to 21,614.72, 32,402.64 and 7,760.48 is: 11,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.72 : 32,402.64 = 7,760.48 : x
  2. Step 2: Convert to fraction form
    21,614.72/32,402.64 = 7,760.48/x
  3. Step 3: Cross multiply
    21,614.72x = 32,402.64 × 7,760.48
  4. Step 4: Simplify right side
    21,614.72x = 251,460,039.67
  5. Step 5: Solve for x
    x = 251,460,039.67/21,614.72
  6. Step 6: Final answer
    x = 11,633.74

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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.