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Finding the Fourth Proportional to 12,635.87, 17,437.23 and 6,971.13

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Solution

The fourth proportional to 12,635.87, 17,437.23 and 6,971.13 is: 9,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.87 : 17,437.23 = 6,971.13 : x
  2. Step 2: Convert to fraction form
    12,635.87/17,437.23 = 6,971.13/x
  3. Step 3: Cross multiply
    12,635.87x = 17,437.23 × 6,971.13
  4. Step 4: Simplify right side
    12,635.87x = 121,557,197.17
  5. Step 5: Solve for x
    x = 121,557,197.17/12,635.87
  6. Step 6: Final answer
    x = 9,620.01

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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.