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Finding the Fourth Proportional to 25,142.13, 37,718.06 and 8,504.87

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Solution

The fourth proportional to 25,142.13, 37,718.06 and 8,504.87 is: 12,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.13 : 37,718.06 = 8,504.87 : x
  2. Step 2: Convert to fraction form
    25,142.13/37,718.06 = 8,504.87/x
  3. Step 3: Cross multiply
    25,142.13x = 37,718.06 × 8,504.87
  4. Step 4: Simplify right side
    25,142.13x = 320,786,965.84
  5. Step 5: Solve for x
    x = 320,786,965.84/25,142.13
  6. Step 6: Final answer
    x = 12,758.94

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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.