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Finding the Fourth Proportional to 16,205.42, 22,364.76 and 9,037.65

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Solution

The fourth proportional to 16,205.42, 22,364.76 and 9,037.65 is: 12,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.42 : 22,364.76 = 9,037.65 : x
  2. Step 2: Convert to fraction form
    16,205.42/22,364.76 = 9,037.65/x
  3. Step 3: Cross multiply
    16,205.42x = 22,364.76 × 9,037.65
  4. Step 4: Simplify right side
    16,205.42x = 202,124,873.21
  5. Step 5: Solve for x
    x = 202,124,873.21/16,205.42
  6. Step 6: Final answer
    x = 12,472.67

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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.