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Finding the Fourth Proportional to 12,647.47, 17,437.29 and 10,370.42

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Solution

The fourth proportional to 12,647.47, 17,437.29 and 10,370.42 is: 14,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.47 : 17,437.29 = 10,370.42 : x
  2. Step 2: Convert to fraction form
    12,647.47/17,437.29 = 10,370.42/x
  3. Step 3: Cross multiply
    12,647.47x = 17,437.29 × 10,370.42
  4. Step 4: Simplify right side
    12,647.47x = 180,832,049.31
  5. Step 5: Solve for x
    x = 180,832,049.31/12,647.47
  6. Step 6: Final answer
    x = 14,297.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.