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Finding the Fourth Proportional to 20,782.40, 31,173.60 and 20,454.35

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Solution

The fourth proportional to 20,782.40, 31,173.60 and 20,454.35 is: 30,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.40 : 31,173.60 = 20,454.35 : x
  2. Step 2: Convert to fraction form
    20,782.40/31,173.60 = 20,454.35/x
  3. Step 3: Cross multiply
    20,782.40x = 31,173.60 × 20,454.35
  4. Step 4: Simplify right side
    20,782.40x = 637,635,725.16
  5. Step 5: Solve for x
    x = 637,635,725.16/20,782.40
  6. Step 6: Final answer
    x = 30,681.53

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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.