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Finding the Fourth Proportional to 23,135.28, 31,927.34 and 13,065.23

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Solution

The fourth proportional to 23,135.28, 31,927.34 and 13,065.23 is: 18,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.28 : 31,927.34 = 13,065.23 : x
  2. Step 2: Convert to fraction form
    23,135.28/31,927.34 = 13,065.23/x
  3. Step 3: Cross multiply
    23,135.28x = 31,927.34 × 13,065.23
  4. Step 4: Simplify right side
    23,135.28x = 417,138,078.62
  5. Step 5: Solve for x
    x = 417,138,078.62/23,135.28
  6. Step 6: Final answer
    x = 18,030.39

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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.