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Finding the Fourth Proportional to 15,670.82, 23,506.31 and 5,282.66

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Solution

The fourth proportional to 15,670.82, 23,506.31 and 5,282.66 is: 7,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.82 : 23,506.31 = 5,282.66 : x
  2. Step 2: Convert to fraction form
    15,670.82/23,506.31 = 5,282.66/x
  3. Step 3: Cross multiply
    15,670.82x = 23,506.31 × 5,282.66
  4. Step 4: Simplify right side
    15,670.82x = 124,175,843.58
  5. Step 5: Solve for x
    x = 124,175,843.58/15,670.82
  6. Step 6: Final answer
    x = 7,924.02

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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.