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Finding the Fourth Proportional to 16,564.41, 22,847.01 and 11,530.38

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Solution

The fourth proportional to 16,564.41, 22,847.01 and 11,530.38 is: 15,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.41 : 22,847.01 = 11,530.38 : x
  2. Step 2: Convert to fraction form
    16,564.41/22,847.01 = 11,530.38/x
  3. Step 3: Cross multiply
    16,564.41x = 22,847.01 × 11,530.38
  4. Step 4: Simplify right side
    16,564.41x = 263,434,707.16
  5. Step 5: Solve for x
    x = 263,434,707.16/16,564.41
  6. Step 6: Final answer
    x = 15,903.66

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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.