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Finding the Fourth Proportional to 21,490.14, 29,648.79 and 14,042.46

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Solution

The fourth proportional to 21,490.14, 29,648.79 and 14,042.46 is: 19,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.14 : 29,648.79 = 14,042.46 : x
  2. Step 2: Convert to fraction form
    21,490.14/29,648.79 = 14,042.46/x
  3. Step 3: Cross multiply
    21,490.14x = 29,648.79 × 14,042.46
  4. Step 4: Simplify right side
    21,490.14x = 416,341,947.62
  5. Step 5: Solve for x
    x = 416,341,947.62/21,490.14
  6. Step 6: Final answer
    x = 19,373.63

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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.