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Finding the Fourth Proportional to 25,536.48, 35,236.80 and 14,205.12

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Solution

The fourth proportional to 25,536.48, 35,236.80 and 14,205.12 is: 19,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.48 : 35,236.80 = 14,205.12 : x
  2. Step 2: Convert to fraction form
    25,536.48/35,236.80 = 14,205.12/x
  3. Step 3: Cross multiply
    25,536.48x = 35,236.80 × 14,205.12
  4. Step 4: Simplify right side
    25,536.48x = 500,542,972.42
  5. Step 5: Solve for x
    x = 500,542,972.42/25,536.48
  6. Step 6: Final answer
    x = 19,601.10

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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.