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Finding the Fourth Proportional to 17,583.17, 24,265.04 and 9,626.13

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Solution

The fourth proportional to 17,583.17, 24,265.04 and 9,626.13 is: 13,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.17 : 24,265.04 = 9,626.13 : x
  2. Step 2: Convert to fraction form
    17,583.17/24,265.04 = 9,626.13/x
  3. Step 3: Cross multiply
    17,583.17x = 24,265.04 × 9,626.13
  4. Step 4: Simplify right side
    17,583.17x = 233,578,381.36
  5. Step 5: Solve for x
    x = 233,578,381.36/17,583.17
  6. Step 6: Final answer
    x = 13,284.21

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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.