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Finding the Fourth Proportional to 25,200.80, 37,762.80 and 23,818.40

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Solution

The fourth proportional to 25,200.80, 37,762.80 and 23,818.40 is: 35,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.80 : 37,762.80 = 23,818.40 : x
  2. Step 2: Convert to fraction form
    25,200.80/37,762.80 = 23,818.40/x
  3. Step 3: Cross multiply
    25,200.80x = 37,762.80 × 23,818.40
  4. Step 4: Simplify right side
    25,200.80x = 899,449,475.52
  5. Step 5: Solve for x
    x = 899,449,475.52/25,200.80
  6. Step 6: Final answer
    x = 35,691.31

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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.