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Finding the Fourth Proportional to 21,682.56, 32,526 and 5,887.86

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Solution

The fourth proportional to 21,682.56, 32,526 and 5,887.86 is: 8,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.56 : 32,526 = 5,887.86 : x
  2. Step 2: Convert to fraction form
    21,682.56/32,526 = 5,887.86/x
  3. Step 3: Cross multiply
    21,682.56x = 32,526 × 5,887.86
  4. Step 4: Simplify right side
    21,682.56x = 191,508,534.36
  5. Step 5: Solve for x
    x = 191,508,534.36/21,682.56
  6. Step 6: Final answer
    x = 8,832.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.