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Finding the Fourth Proportional to 16,337.84, 24,467.29 and 9,296.52

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Solution

The fourth proportional to 16,337.84, 24,467.29 and 9,296.52 is: 13,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.84 : 24,467.29 = 9,296.52 : x
  2. Step 2: Convert to fraction form
    16,337.84/24,467.29 = 9,296.52/x
  3. Step 3: Cross multiply
    16,337.84x = 24,467.29 × 9,296.52
  4. Step 4: Simplify right side
    16,337.84x = 227,460,650.83
  5. Step 5: Solve for x
    x = 227,460,650.83/16,337.84
  6. Step 6: Final answer
    x = 13,922.32

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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.