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Finding the Fourth Proportional to 23,920.94, 35,883.86 and 9,142.30

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Solution

The fourth proportional to 23,920.94, 35,883.86 and 9,142.30 is: 13,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.94 : 35,883.86 = 9,142.30 : x
  2. Step 2: Convert to fraction form
    23,920.94/35,883.86 = 9,142.30/x
  3. Step 3: Cross multiply
    23,920.94x = 35,883.86 × 9,142.30
  4. Step 4: Simplify right side
    23,920.94x = 328,060,788.15
  5. Step 5: Solve for x
    x = 328,060,788.15/23,920.94
  6. Step 6: Final answer
    x = 13,714.38

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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.