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Finding the Fourth Proportional to 29,967.50, 41,353.26 and 16,538.90

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Solution

The fourth proportional to 29,967.50, 41,353.26 and 16,538.90 is: 22,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.50 : 41,353.26 = 16,538.90 : x
  2. Step 2: Convert to fraction form
    29,967.50/41,353.26 = 16,538.90/x
  3. Step 3: Cross multiply
    29,967.50x = 41,353.26 × 16,538.90
  4. Step 4: Simplify right side
    29,967.50x = 683,937,431.81
  5. Step 5: Solve for x
    x = 683,937,431.81/29,967.50
  6. Step 6: Final answer
    x = 22,822.64

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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.