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Finding the Fourth Proportional to 23,823, 32,877.22 and 13,753.28

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Solution

The fourth proportional to 23,823, 32,877.22 and 13,753.28 is: 18,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 32,877.22 = 13,753.28 : x
  2. Step 2: Convert to fraction form
    23,823/32,877.22 = 13,753.28/x
  3. Step 3: Cross multiply
    23,823x = 32,877.22 × 13,753.28
  4. Step 4: Simplify right side
    23,823x = 452,169,612.28
  5. Step 5: Solve for x
    x = 452,169,612.28/23,823
  6. Step 6: Final answer
    x = 18,980.38

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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.