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Finding the Fourth Proportional to 25,889.60, 35,728.08 and 14,561.48

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Solution

The fourth proportional to 25,889.60, 35,728.08 and 14,561.48 is: 20,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.60 : 35,728.08 = 14,561.48 : x
  2. Step 2: Convert to fraction form
    25,889.60/35,728.08 = 14,561.48/x
  3. Step 3: Cross multiply
    25,889.60x = 35,728.08 × 14,561.48
  4. Step 4: Simplify right side
    25,889.60x = 520,253,722.36
  5. Step 5: Solve for x
    x = 520,253,722.36/25,889.60
  6. Step 6: Final answer
    x = 20,095.09

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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.