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Finding the Fourth Proportional to 16,206.64, 22,364.58 and 9,133.72

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Solution

The fourth proportional to 16,206.64, 22,364.58 and 9,133.72 is: 12,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.64 : 22,364.58 = 9,133.72 : x
  2. Step 2: Convert to fraction form
    16,206.64/22,364.58 = 9,133.72/x
  3. Step 3: Cross multiply
    16,206.64x = 22,364.58 × 9,133.72
  4. Step 4: Simplify right side
    16,206.64x = 204,271,811.64
  5. Step 5: Solve for x
    x = 204,271,811.64/16,206.64
  6. Step 6: Final answer
    x = 12,604.20

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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.