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Finding the Fourth Proportional to 25,861.80, 38,741.40 and 20,289

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Solution

The fourth proportional to 25,861.80, 38,741.40 and 20,289 is: 30,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.80 : 38,741.40 = 20,289 : x
  2. Step 2: Convert to fraction form
    25,861.80/38,741.40 = 20,289/x
  3. Step 3: Cross multiply
    25,861.80x = 38,741.40 × 20,289
  4. Step 4: Simplify right side
    25,861.80x = 786,024,264.60
  5. Step 5: Solve for x
    x = 786,024,264.60/25,861.80
  6. Step 6: Final answer
    x = 30,393.25

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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.