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Finding the Fourth Proportional to 21,242.40, 31,859.34 and 20,188.59

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Solution

The fourth proportional to 21,242.40, 31,859.34 and 20,188.59 is: 30,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.40 : 31,859.34 = 20,188.59 : x
  2. Step 2: Convert to fraction form
    21,242.40/31,859.34 = 20,188.59/x
  3. Step 3: Cross multiply
    21,242.40x = 31,859.34 × 20,188.59
  4. Step 4: Simplify right side
    21,242.40x = 643,195,152.93
  5. Step 5: Solve for x
    x = 643,195,152.93/21,242.40
  6. Step 6: Final answer
    x = 30,278.84

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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.