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Finding the Fourth Proportional to 25,949.27, 35,802.59 and 14,614.80

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Solution

The fourth proportional to 25,949.27, 35,802.59 and 14,614.80 is: 20,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949.27 : 35,802.59 = 14,614.80 : x
  2. Step 2: Convert to fraction form
    25,949.27/35,802.59 = 14,614.80/x
  3. Step 3: Cross multiply
    25,949.27x = 35,802.59 × 14,614.80
  4. Step 4: Simplify right side
    25,949.27x = 523,247,619.26
  5. Step 5: Solve for x
    x = 523,247,619.26/25,949.27
  6. Step 6: Final answer
    x = 20,164.25

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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.