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Finding the Fourth Proportional to 20,188.42, 30,262.95 and 9,655.68

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Solution

The fourth proportional to 20,188.42, 30,262.95 and 9,655.68 is: 14,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.42 : 30,262.95 = 9,655.68 : x
  2. Step 2: Convert to fraction form
    20,188.42/30,262.95 = 9,655.68/x
  3. Step 3: Cross multiply
    20,188.42x = 30,262.95 × 9,655.68
  4. Step 4: Simplify right side
    20,188.42x = 292,209,361.06
  5. Step 5: Solve for x
    x = 292,209,361.06/20,188.42
  6. Step 6: Final answer
    x = 14,474.11

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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.