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Finding the Fourth Proportional to 25,709.81, 35,496.02 and 16,162.74

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Solution

The fourth proportional to 25,709.81, 35,496.02 and 16,162.74 is: 22,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.81 : 35,496.02 = 16,162.74 : x
  2. Step 2: Convert to fraction form
    25,709.81/35,496.02 = 16,162.74/x
  3. Step 3: Cross multiply
    25,709.81x = 35,496.02 × 16,162.74
  4. Step 4: Simplify right side
    25,709.81x = 573,712,982.70
  5. Step 5: Solve for x
    x = 573,712,982.70/25,709.81
  6. Step 6: Final answer
    x = 22,314.95

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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.