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Finding the Fourth Proportional to 25,724.69, 35,500.20 and 14,394.20

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Solution

The fourth proportional to 25,724.69, 35,500.20 and 14,394.20 is: 19,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.69 : 35,500.20 = 14,394.20 : x
  2. Step 2: Convert to fraction form
    25,724.69/35,500.20 = 14,394.20/x
  3. Step 3: Cross multiply
    25,724.69x = 35,500.20 × 14,394.20
  4. Step 4: Simplify right side
    25,724.69x = 510,996,906.87
  5. Step 5: Solve for x
    x = 510,996,906.87/25,724.69
  6. Step 6: Final answer
    x = 19,864.07

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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.