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Finding the Fourth Proportional to 25,640.80, 38,466.24 and 10,849.60

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Solution

The fourth proportional to 25,640.80, 38,466.24 and 10,849.60 is: 16,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640.80 : 38,466.24 = 10,849.60 : x
  2. Step 2: Convert to fraction form
    25,640.80/38,466.24 = 10,849.60/x
  3. Step 3: Cross multiply
    25,640.80x = 38,466.24 × 10,849.60
  4. Step 4: Simplify right side
    25,640.80x = 417,343,317.50
  5. Step 5: Solve for x
    x = 417,343,317.50/25,640.80
  6. Step 6: Final answer
    x = 16,276.53

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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.