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Finding the Fourth Proportional to 25,403.74, 35,057.74 and 14,789.50

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Solution

The fourth proportional to 25,403.74, 35,057.74 and 14,789.50 is: 20,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.74 : 35,057.74 = 14,789.50 : x
  2. Step 2: Convert to fraction form
    25,403.74/35,057.74 = 14,789.50/x
  3. Step 3: Cross multiply
    25,403.74x = 35,057.74 × 14,789.50
  4. Step 4: Simplify right side
    25,403.74x = 518,486,445.73
  5. Step 5: Solve for x
    x = 518,486,445.73/25,403.74
  6. Step 6: Final answer
    x = 20,409.85

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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.