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Finding the Fourth Proportional to 21,385.79, 32,077.14 and 6,593.16

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Solution

The fourth proportional to 21,385.79, 32,077.14 and 6,593.16 is: 9,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.79 : 32,077.14 = 6,593.16 : x
  2. Step 2: Convert to fraction form
    21,385.79/32,077.14 = 6,593.16/x
  3. Step 3: Cross multiply
    21,385.79x = 32,077.14 × 6,593.16
  4. Step 4: Simplify right side
    21,385.79x = 211,489,716.36
  5. Step 5: Solve for x
    x = 211,489,716.36/21,385.79
  6. Step 6: Final answer
    x = 9,889.27

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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.