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Finding the Fourth Proportional to 29,310.64, 40,447.74 and 16,564.30

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Solution

The fourth proportional to 29,310.64, 40,447.74 and 16,564.30 is: 22,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,310.64 : 40,447.74 = 16,564.30 : x
  2. Step 2: Convert to fraction form
    29,310.64/40,447.74 = 16,564.30/x
  3. Step 3: Cross multiply
    29,310.64x = 40,447.74 × 16,564.30
  4. Step 4: Simplify right side
    29,310.64x = 669,988,499.68
  5. Step 5: Solve for x
    x = 669,988,499.68/29,310.64
  6. Step 6: Final answer
    x = 22,858.20

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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.