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Finding the Fourth Proportional to 25,803.68, 38,710.96 and 8,285.80

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Solution

The fourth proportional to 25,803.68, 38,710.96 and 8,285.80 is: 12,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.68 : 38,710.96 = 8,285.80 : x
  2. Step 2: Convert to fraction form
    25,803.68/38,710.96 = 8,285.80/x
  3. Step 3: Cross multiply
    25,803.68x = 38,710.96 × 8,285.80
  4. Step 4: Simplify right side
    25,803.68x = 320,751,272.37
  5. Step 5: Solve for x
    x = 320,751,272.37/25,803.68
  6. Step 6: Final answer
    x = 12,430.45

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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.