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Finding the Fourth Proportional to 25,720.94, 38,588.72 and 8,192.13

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Solution

The fourth proportional to 25,720.94, 38,588.72 and 8,192.13 is: 12,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.94 : 38,588.72 = 8,192.13 : x
  2. Step 2: Convert to fraction form
    25,720.94/38,588.72 = 8,192.13/x
  3. Step 3: Cross multiply
    25,720.94x = 38,588.72 × 8,192.13
  4. Step 4: Simplify right side
    25,720.94x = 316,123,769.81
  5. Step 5: Solve for x
    x = 316,123,769.81/25,720.94
  6. Step 6: Final answer
    x = 12,290.52

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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.