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Finding the Fourth Proportional to 25,777.40, 38,647.18 and 8,237.12

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Solution

The fourth proportional to 25,777.40, 38,647.18 and 8,237.12 is: 12,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.40 : 38,647.18 = 8,237.12 : x
  2. Step 2: Convert to fraction form
    25,777.40/38,647.18 = 8,237.12/x
  3. Step 3: Cross multiply
    25,777.40x = 38,647.18 × 8,237.12
  4. Step 4: Simplify right side
    25,777.40x = 318,341,459.32
  5. Step 5: Solve for x
    x = 318,341,459.32/25,777.40
  6. Step 6: Final answer
    x = 12,349.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.