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Finding the Fourth Proportional to 21,706.68, 29,944.98 and 14,153.16

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Solution

The fourth proportional to 21,706.68, 29,944.98 and 14,153.16 is: 19,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.68 : 29,944.98 = 14,153.16 : x
  2. Step 2: Convert to fraction form
    21,706.68/29,944.98 = 14,153.16/x
  3. Step 3: Cross multiply
    21,706.68x = 29,944.98 × 14,153.16
  4. Step 4: Simplify right side
    21,706.68x = 423,816,093.14
  5. Step 5: Solve for x
    x = 423,816,093.14/21,706.68
  6. Step 6: Final answer
    x = 19,524.69

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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.