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Finding the Fourth Proportional to 23,006.95, 31,705.66 and 19,819.24

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Solution

The fourth proportional to 23,006.95, 31,705.66 and 19,819.24 is: 27,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.95 : 31,705.66 = 19,819.24 : x
  2. Step 2: Convert to fraction form
    23,006.95/31,705.66 = 19,819.24/x
  3. Step 3: Cross multiply
    23,006.95x = 31,705.66 × 19,819.24
  4. Step 4: Simplify right side
    23,006.95x = 628,382,084.90
  5. Step 5: Solve for x
    x = 628,382,084.90/23,006.95
  6. Step 6: Final answer
    x = 27,312.71

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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.