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Finding the Fourth Proportional to 15,725.93, 21,711.48 and 10,823

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Solution

The fourth proportional to 15,725.93, 21,711.48 and 10,823 is: 14,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.93 : 21,711.48 = 10,823 : x
  2. Step 2: Convert to fraction form
    15,725.93/21,711.48 = 10,823/x
  3. Step 3: Cross multiply
    15,725.93x = 21,711.48 × 10,823
  4. Step 4: Simplify right side
    15,725.93x = 234,983,348.04
  5. Step 5: Solve for x
    x = 234,983,348.04/15,725.93
  6. Step 6: Final answer
    x = 14,942.41

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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.