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Finding the Fourth Proportional to 16,122.30, 24,176.16 and 5,734.32

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Solution

The fourth proportional to 16,122.30, 24,176.16 and 5,734.32 is: 8,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.30 : 24,176.16 = 5,734.32 : x
  2. Step 2: Convert to fraction form
    16,122.30/24,176.16 = 5,734.32/x
  3. Step 3: Cross multiply
    16,122.30x = 24,176.16 × 5,734.32
  4. Step 4: Simplify right side
    16,122.30x = 138,633,837.81
  5. Step 5: Solve for x
    x = 138,633,837.81/16,122.30
  6. Step 6: Final answer
    x = 8,598.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.