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Finding the Fourth Proportional to 17,537.14, 26,304.99 and 9,740.98

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Solution

The fourth proportional to 17,537.14, 26,304.99 and 9,740.98 is: 14,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.14 : 26,304.99 = 9,740.98 : x
  2. Step 2: Convert to fraction form
    17,537.14/26,304.99 = 9,740.98/x
  3. Step 3: Cross multiply
    17,537.14x = 26,304.99 × 9,740.98
  4. Step 4: Simplify right side
    17,537.14x = 256,236,381.49
  5. Step 5: Solve for x
    x = 256,236,381.49/17,537.14
  6. Step 6: Final answer
    x = 14,611.07

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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.