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Finding the Fourth Proportional to 25,797.62, 38,707.37 and 14,097.17

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Solution

The fourth proportional to 25,797.62, 38,707.37 and 14,097.17 is: 21,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.62 : 38,707.37 = 14,097.17 : x
  2. Step 2: Convert to fraction form
    25,797.62/38,707.37 = 14,097.17/x
  3. Step 3: Cross multiply
    25,797.62x = 38,707.37 × 14,097.17
  4. Step 4: Simplify right side
    25,797.62x = 545,664,111.12
  5. Step 5: Solve for x
    x = 545,664,111.12/25,797.62
  6. Step 6: Final answer
    x = 21,151.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.