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Finding the Fourth Proportional to 25,039.71, 34,578.23 and 16,102.74

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Solution

The fourth proportional to 25,039.71, 34,578.23 and 16,102.74 is: 22,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,039.71 : 34,578.23 = 16,102.74 : x
  2. Step 2: Convert to fraction form
    25,039.71/34,578.23 = 16,102.74/x
  3. Step 3: Cross multiply
    25,039.71x = 34,578.23 × 16,102.74
  4. Step 4: Simplify right side
    25,039.71x = 556,804,166.84
  5. Step 5: Solve for x
    x = 556,804,166.84/25,039.71
  6. Step 6: Final answer
    x = 22,236.85

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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.