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Finding the Fourth Proportional to 16,037.64, 22,131.18 and 8,964

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Solution

The fourth proportional to 16,037.64, 22,131.18 and 8,964 is: 12,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.64 : 22,131.18 = 8,964 : x
  2. Step 2: Convert to fraction form
    16,037.64/22,131.18 = 8,964/x
  3. Step 3: Cross multiply
    16,037.64x = 22,131.18 × 8,964
  4. Step 4: Simplify right side
    16,037.64x = 198,383,897.52
  5. Step 5: Solve for x
    x = 198,383,897.52/16,037.64
  6. Step 6: Final answer
    x = 12,369.89

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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.