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Finding the Fourth Proportional to 21,616.50, 29,843.01 and 14,069.46

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Solution

The fourth proportional to 21,616.50, 29,843.01 and 14,069.46 is: 19,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.50 : 29,843.01 = 14,069.46 : x
  2. Step 2: Convert to fraction form
    21,616.50/29,843.01 = 14,069.46/x
  3. Step 3: Cross multiply
    21,616.50x = 29,843.01 × 14,069.46
  4. Step 4: Simplify right side
    21,616.50x = 419,875,035.47
  5. Step 5: Solve for x
    x = 419,875,035.47/21,616.50
  6. Step 6: Final answer
    x = 19,423.82

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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.