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Finding the Fourth Proportional to 17,185.64, 25,754.13 and 7,314.98

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Solution

The fourth proportional to 17,185.64, 25,754.13 and 7,314.98 is: 10,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.64 : 25,754.13 = 7,314.98 : x
  2. Step 2: Convert to fraction form
    17,185.64/25,754.13 = 7,314.98/x
  3. Step 3: Cross multiply
    17,185.64x = 25,754.13 × 7,314.98
  4. Step 4: Simplify right side
    17,185.64x = 188,390,817.10
  5. Step 5: Solve for x
    x = 188,390,817.10/17,185.64
  6. Step 6: Final answer
    x = 10,962.11

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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.