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Finding the Fourth Proportional to 16,533.64, 22,811.25 and 9,458.70

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Solution

The fourth proportional to 16,533.64, 22,811.25 and 9,458.70 is: 13,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.64 : 22,811.25 = 9,458.70 : x
  2. Step 2: Convert to fraction form
    16,533.64/22,811.25 = 9,458.70/x
  3. Step 3: Cross multiply
    16,533.64x = 22,811.25 × 9,458.70
  4. Step 4: Simplify right side
    16,533.64x = 215,764,770.38
  5. Step 5: Solve for x
    x = 215,764,770.38/16,533.64
  6. Step 6: Final answer
    x = 13,050.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.