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Finding the Fourth Proportional to 40,891.84, 61,350.72 and 14,596

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Solution

The fourth proportional to 40,891.84, 61,350.72 and 14,596 is: 21,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891.84 : 61,350.72 = 14,596 : x
  2. Step 2: Convert to fraction form
    40,891.84/61,350.72 = 14,596/x
  3. Step 3: Cross multiply
    40,891.84x = 61,350.72 × 14,596
  4. Step 4: Simplify right side
    40,891.84x = 895,475,109.12
  5. Step 5: Solve for x
    x = 895,475,109.12/40,891.84
  6. Step 6: Final answer
    x = 21,898.63

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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.