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Finding the Fourth Proportional to 23,746.44, 35,597.55 and 8,965.14

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Solution

The fourth proportional to 23,746.44, 35,597.55 and 8,965.14 is: 13,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.44 : 35,597.55 = 8,965.14 : x
  2. Step 2: Convert to fraction form
    23,746.44/35,597.55 = 8,965.14/x
  3. Step 3: Cross multiply
    23,746.44x = 35,597.55 × 8,965.14
  4. Step 4: Simplify right side
    23,746.44x = 319,137,019.41
  5. Step 5: Solve for x
    x = 319,137,019.41/23,746.44
  6. Step 6: Final answer
    x = 13,439.36

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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.