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Finding the Fourth Proportional to 15,927.30, 23,893.25 and 5,398.25

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Solution

The fourth proportional to 15,927.30, 23,893.25 and 5,398.25 is: 8,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.30 : 23,893.25 = 5,398.25 : x
  2. Step 2: Convert to fraction form
    15,927.30/23,893.25 = 5,398.25/x
  3. Step 3: Cross multiply
    15,927.30x = 23,893.25 × 5,398.25
  4. Step 4: Simplify right side
    15,927.30x = 128,981,590.36
  5. Step 5: Solve for x
    x = 128,981,590.36/15,927.30
  6. Step 6: Final answer
    x = 8,098.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.