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Finding the Fourth Proportional to 16,690.69, 23,034.26 and 9,617.57

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Solution

The fourth proportional to 16,690.69, 23,034.26 and 9,617.57 is: 13,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.69 : 23,034.26 = 9,617.57 : x
  2. Step 2: Convert to fraction form
    16,690.69/23,034.26 = 9,617.57/x
  3. Step 3: Cross multiply
    16,690.69x = 23,034.26 × 9,617.57
  4. Step 4: Simplify right side
    16,690.69x = 221,533,607.95
  5. Step 5: Solve for x
    x = 221,533,607.95/16,690.69
  6. Step 6: Final answer
    x = 13,272.88

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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.