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Finding the Fourth Proportional to 25,738.72, 38,593.68 and 10,152.16

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Solution

The fourth proportional to 25,738.72, 38,593.68 and 10,152.16 is: 15,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.72 : 38,593.68 = 10,152.16 : x
  2. Step 2: Convert to fraction form
    25,738.72/38,593.68 = 10,152.16/x
  3. Step 3: Cross multiply
    25,738.72x = 38,593.68 × 10,152.16
  4. Step 4: Simplify right side
    25,738.72x = 391,809,214.35
  5. Step 5: Solve for x
    x = 391,809,214.35/25,738.72
  6. Step 6: Final answer
    x = 15,222.56

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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.