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Finding the Fourth Proportional to 19,774.63, 29,669.23 and 10,414.27

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Solution

The fourth proportional to 19,774.63, 29,669.23 and 10,414.27 is: 15,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.63 : 29,669.23 = 10,414.27 : x
  2. Step 2: Convert to fraction form
    19,774.63/29,669.23 = 10,414.27/x
  3. Step 3: Cross multiply
    19,774.63x = 29,669.23 × 10,414.27
  4. Step 4: Simplify right side
    19,774.63x = 308,983,223.57
  5. Step 5: Solve for x
    x = 308,983,223.57/19,774.63
  6. Step 6: Final answer
    x = 15,625.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.