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Finding the Fourth Proportional to 25,792.02, 38,693.59 and 8,022.33

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Solution

The fourth proportional to 25,792.02, 38,693.59 and 8,022.33 is: 12,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.02 : 38,693.59 = 8,022.33 : x
  2. Step 2: Convert to fraction form
    25,792.02/38,693.59 = 8,022.33/x
  3. Step 3: Cross multiply
    25,792.02x = 38,693.59 × 8,022.33
  4. Step 4: Simplify right side
    25,792.02x = 310,412,727.81
  5. Step 5: Solve for x
    x = 310,412,727.81/25,792.02
  6. Step 6: Final answer
    x = 12,035.22

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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.