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Finding the Fourth Proportional to 23,744.52, 35,603.63 and 9,714.41

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Solution

The fourth proportional to 23,744.52, 35,603.63 and 9,714.41 is: 14,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.52 : 35,603.63 = 9,714.41 : x
  2. Step 2: Convert to fraction form
    23,744.52/35,603.63 = 9,714.41/x
  3. Step 3: Cross multiply
    23,744.52x = 35,603.63 × 9,714.41
  4. Step 4: Simplify right side
    23,744.52x = 345,868,032.72
  5. Step 5: Solve for x
    x = 345,868,032.72/23,744.52
  6. Step 6: Final answer
    x = 14,566.23

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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.