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Finding the Fourth Proportional to 23,136.31, 31,927.85 and 13,064.15

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Solution

The fourth proportional to 23,136.31, 31,927.85 and 13,064.15 is: 18,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.31 : 31,927.85 = 13,064.15 : x
  2. Step 2: Convert to fraction form
    23,136.31/31,927.85 = 13,064.15/x
  3. Step 3: Cross multiply
    23,136.31x = 31,927.85 × 13,064.15
  4. Step 4: Simplify right side
    23,136.31x = 417,110,061.94
  5. Step 5: Solve for x
    x = 417,110,061.94/23,136.31
  6. Step 6: Final answer
    x = 18,028.38

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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.