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Finding the Fourth Proportional to 25,700.50, 38,553.81 and 9,057.07

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Solution

The fourth proportional to 25,700.50, 38,553.81 and 9,057.07 is: 13,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.50 : 38,553.81 = 9,057.07 : x
  2. Step 2: Convert to fraction form
    25,700.50/38,553.81 = 9,057.07/x
  3. Step 3: Cross multiply
    25,700.50x = 38,553.81 × 9,057.07
  4. Step 4: Simplify right side
    25,700.50x = 349,184,555.94
  5. Step 5: Solve for x
    x = 349,184,555.94/25,700.50
  6. Step 6: Final answer
    x = 13,586.68

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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.