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Finding the Fourth Proportional to 29,967.93, 41,355.18 and 16,538.40

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Solution

The fourth proportional to 29,967.93, 41,355.18 and 16,538.40 is: 22,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.93 : 41,355.18 = 16,538.40 : x
  2. Step 2: Convert to fraction form
    29,967.93/41,355.18 = 16,538.40/x
  3. Step 3: Cross multiply
    29,967.93x = 41,355.18 × 16,538.40
  4. Step 4: Simplify right side
    29,967.93x = 683,948,508.91
  5. Step 5: Solve for x
    x = 683,948,508.91/29,967.93
  6. Step 6: Final answer
    x = 22,822.68

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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.