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Finding the Fourth Proportional to 29,854.03, 41,197.41 and 16,424.50

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Solution

The fourth proportional to 29,854.03, 41,197.41 and 16,424.50 is: 22,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.03 : 41,197.41 = 16,424.50 : x
  2. Step 2: Convert to fraction form
    29,854.03/41,197.41 = 16,424.50/x
  3. Step 3: Cross multiply
    29,854.03x = 41,197.41 × 16,424.50
  4. Step 4: Simplify right side
    29,854.03x = 676,646,860.55
  5. Step 5: Solve for x
    x = 676,646,860.55/29,854.03
  6. Step 6: Final answer
    x = 22,665.18

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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.