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Finding the Fourth Proportional to 25,803.41, 38,710.58 and 8,285.54

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Solution

The fourth proportional to 25,803.41, 38,710.58 and 8,285.54 is: 12,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.41 : 38,710.58 = 8,285.54 : x
  2. Step 2: Convert to fraction form
    25,803.41/38,710.58 = 8,285.54/x
  3. Step 3: Cross multiply
    25,803.41x = 38,710.58 × 8,285.54
  4. Step 4: Simplify right side
    25,803.41x = 320,737,824.03
  5. Step 5: Solve for x
    x = 320,737,824.03/25,803.41
  6. Step 6: Final answer
    x = 12,430.06

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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.