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Finding the Fourth Proportional to 20,135.88, 30,203.64 and 14,188.32

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Solution

The fourth proportional to 20,135.88, 30,203.64 and 14,188.32 is: 21,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.88 : 30,203.64 = 14,188.32 : x
  2. Step 2: Convert to fraction form
    20,135.88/30,203.64 = 14,188.32/x
  3. Step 3: Cross multiply
    20,135.88x = 30,203.64 × 14,188.32
  4. Step 4: Simplify right side
    20,135.88x = 428,538,909.48
  5. Step 5: Solve for x
    x = 428,538,909.48/20,135.88
  6. Step 6: Final answer
    x = 21,282.35

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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.