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Finding the Fourth Proportional to 25,715.74, 35,477.58 and 16,150

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Solution

The fourth proportional to 25,715.74, 35,477.58 and 16,150 is: 22,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.74 : 35,477.58 = 16,150 : x
  2. Step 2: Convert to fraction form
    25,715.74/35,477.58 = 16,150/x
  3. Step 3: Cross multiply
    25,715.74x = 35,477.58 × 16,150
  4. Step 4: Simplify right side
    25,715.74x = 572,962,917
  5. Step 5: Solve for x
    x = 572,962,917/25,715.74
  6. Step 6: Final answer
    x = 22,280.63

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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.