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Finding the Fourth Proportional to 23,705.76, 35,560.71 and 6,175.56

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Solution

The fourth proportional to 23,705.76, 35,560.71 and 6,175.56 is: 9,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.76 : 35,560.71 = 6,175.56 : x
  2. Step 2: Convert to fraction form
    23,705.76/35,560.71 = 6,175.56/x
  3. Step 3: Cross multiply
    23,705.76x = 35,560.71 × 6,175.56
  4. Step 4: Simplify right side
    23,705.76x = 219,607,298.25
  5. Step 5: Solve for x
    x = 219,607,298.25/23,705.76
  6. Step 6: Final answer
    x = 9,263.88

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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.