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Finding the Fourth Proportional to 23,301.44, 34,944 and 7,714.88

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Solution

The fourth proportional to 23,301.44, 34,944 and 7,714.88 is: 11,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301.44 : 34,944 = 7,714.88 : x
  2. Step 2: Convert to fraction form
    23,301.44/34,944 = 7,714.88/x
  3. Step 3: Cross multiply
    23,301.44x = 34,944 × 7,714.88
  4. Step 4: Simplify right side
    23,301.44x = 269,588,766.72
  5. Step 5: Solve for x
    x = 269,588,766.72/23,301.44
  6. Step 6: Final answer
    x = 11,569.62

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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.