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Finding the Fourth Proportional to 25,508.12, 35,201.40 and 14,177.84

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Solution

The fourth proportional to 25,508.12, 35,201.40 and 14,177.84 is: 19,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.12 : 35,201.40 = 14,177.84 : x
  2. Step 2: Convert to fraction form
    25,508.12/35,201.40 = 14,177.84/x
  3. Step 3: Cross multiply
    25,508.12x = 35,201.40 × 14,177.84
  4. Step 4: Simplify right side
    25,508.12x = 499,079,816.98
  5. Step 5: Solve for x
    x = 499,079,816.98/25,508.12
  6. Step 6: Final answer
    x = 19,565.53

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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.