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Finding the Fourth Proportional to 25,711.72, 35,480.82 and 14,533

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Solution

The fourth proportional to 25,711.72, 35,480.82 and 14,533 is: 20,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.72 : 35,480.82 = 14,533 : x
  2. Step 2: Convert to fraction form
    25,711.72/35,480.82 = 14,533/x
  3. Step 3: Cross multiply
    25,711.72x = 35,480.82 × 14,533
  4. Step 4: Simplify right side
    25,711.72x = 515,642,757.06
  5. Step 5: Solve for x
    x = 515,642,757.06/25,711.72
  6. Step 6: Final answer
    x = 20,054.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.