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Finding the Fourth Proportional to 20,149.84, 30,224.64 and 14,202.40

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Solution

The fourth proportional to 20,149.84, 30,224.64 and 14,202.40 is: 21,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.84 : 30,224.64 = 14,202.40 : x
  2. Step 2: Convert to fraction form
    20,149.84/30,224.64 = 14,202.40/x
  3. Step 3: Cross multiply
    20,149.84x = 30,224.64 × 14,202.40
  4. Step 4: Simplify right side
    20,149.84x = 429,262,427.14
  5. Step 5: Solve for x
    x = 429,262,427.14/20,149.84
  6. Step 6: Final answer
    x = 21,303.52

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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.