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Finding the Fourth Proportional to 29,822.96, 41,156.64 and 16,394.78

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Solution

The fourth proportional to 29,822.96, 41,156.64 and 16,394.78 is: 22,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.96 : 41,156.64 = 16,394.78 : x
  2. Step 2: Convert to fraction form
    29,822.96/41,156.64 = 16,394.78/x
  3. Step 3: Cross multiply
    29,822.96x = 41,156.64 × 16,394.78
  4. Step 4: Simplify right side
    29,822.96x = 674,754,058.34
  5. Step 5: Solve for x
    x = 674,754,058.34/29,822.96
  6. Step 6: Final answer
    x = 22,625.32

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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.