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Finding the Fourth Proportional to 21,395.64, 32,096.54 and 6,605.82

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Solution

The fourth proportional to 21,395.64, 32,096.54 and 6,605.82 is: 9,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395.64 : 32,096.54 = 6,605.82 : x
  2. Step 2: Convert to fraction form
    21,395.64/32,096.54 = 6,605.82/x
  3. Step 3: Cross multiply
    21,395.64x = 32,096.54 × 6,605.82
  4. Step 4: Simplify right side
    21,395.64x = 212,023,965.86
  5. Step 5: Solve for x
    x = 212,023,965.86/21,395.64
  6. Step 6: Final answer
    x = 9,909.68

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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.