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Finding the Fourth Proportional to 20,420.88, 30,577.84 and 13,378.74

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Solution

The fourth proportional to 20,420.88, 30,577.84 and 13,378.74 is: 20,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.88 : 30,577.84 = 13,378.74 : x
  2. Step 2: Convert to fraction form
    20,420.88/30,577.84 = 13,378.74/x
  3. Step 3: Cross multiply
    20,420.88x = 30,577.84 × 13,378.74
  4. Step 4: Simplify right side
    20,420.88x = 409,092,971.12
  5. Step 5: Solve for x
    x = 409,092,971.12/20,420.88
  6. Step 6: Final answer
    x = 20,033.07

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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.