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Finding the Fourth Proportional to 17,663.67, 24,375.94 and 9,706.05

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Solution

The fourth proportional to 17,663.67, 24,375.94 and 9,706.05 is: 13,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.67 : 24,375.94 = 9,706.05 : x
  2. Step 2: Convert to fraction form
    17,663.67/24,375.94 = 9,706.05/x
  3. Step 3: Cross multiply
    17,663.67x = 24,375.94 × 9,706.05
  4. Step 4: Simplify right side
    17,663.67x = 236,594,068.17
  5. Step 5: Solve for x
    x = 236,594,068.17/17,663.67
  6. Step 6: Final answer
    x = 13,394.39

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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.