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Finding the Fourth Proportional to 25,756.29, 38,632.01 and 8,223.03

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Solution

The fourth proportional to 25,756.29, 38,632.01 and 8,223.03 is: 12,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.29 : 38,632.01 = 8,223.03 : x
  2. Step 2: Convert to fraction form
    25,756.29/38,632.01 = 8,223.03/x
  3. Step 3: Cross multiply
    25,756.29x = 38,632.01 × 8,223.03
  4. Step 4: Simplify right side
    25,756.29x = 317,672,136.08
  5. Step 5: Solve for x
    x = 317,672,136.08/25,756.29
  6. Step 6: Final answer
    x = 12,333.77

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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.