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Finding the Fourth Proportional to 20,816.64, 28,726.38 and 11,385

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Solution

The fourth proportional to 20,816.64, 28,726.38 and 11,385 is: 15,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,816.64 : 28,726.38 = 11,385 : x
  2. Step 2: Convert to fraction form
    20,816.64/28,726.38 = 11,385/x
  3. Step 3: Cross multiply
    20,816.64x = 28,726.38 × 11,385
  4. Step 4: Simplify right side
    20,816.64x = 327,049,836.30
  5. Step 5: Solve for x
    x = 327,049,836.30/20,816.64
  6. Step 6: Final answer
    x = 15,710.98

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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.