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Finding the Fourth Proportional to 25,716.75, 38,574.95 and 6,996.71

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Solution

The fourth proportional to 25,716.75, 38,574.95 and 6,996.71 is: 10,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.75 : 38,574.95 = 6,996.71 : x
  2. Step 2: Convert to fraction form
    25,716.75/38,574.95 = 6,996.71/x
  3. Step 3: Cross multiply
    25,716.75x = 38,574.95 × 6,996.71
  4. Step 4: Simplify right side
    25,716.75x = 269,897,510.56
  5. Step 5: Solve for x
    x = 269,897,510.56/25,716.75
  6. Step 6: Final answer
    x = 10,495.01

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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.