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Finding the Fourth Proportional to 16,037.76, 22,133.64 and 9,322.80

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Solution

The fourth proportional to 16,037.76, 22,133.64 and 9,322.80 is: 12,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.76 : 22,133.64 = 9,322.80 : x
  2. Step 2: Convert to fraction form
    16,037.76/22,133.64 = 9,322.80/x
  3. Step 3: Cross multiply
    16,037.76x = 22,133.64 × 9,322.80
  4. Step 4: Simplify right side
    16,037.76x = 206,347,498.99
  5. Step 5: Solve for x
    x = 206,347,498.99/16,037.76
  6. Step 6: Final answer
    x = 12,866.35

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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.