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Finding the Fourth Proportional to 25,723.12, 38,586 and 7,256.56

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Solution

The fourth proportional to 25,723.12, 38,586 and 7,256.56 is: 10,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723.12 : 38,586 = 7,256.56 : x
  2. Step 2: Convert to fraction form
    25,723.12/38,586 = 7,256.56/x
  3. Step 3: Cross multiply
    25,723.12x = 38,586 × 7,256.56
  4. Step 4: Simplify right side
    25,723.12x = 280,001,624.16
  5. Step 5: Solve for x
    x = 280,001,624.16/25,723.12
  6. Step 6: Final answer
    x = 10,885.21

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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.