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Finding the Fourth Proportional to 17,317.94, 23,897.32 and 9,766.14

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Solution

The fourth proportional to 17,317.94, 23,897.32 and 9,766.14 is: 13,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,317.94 : 23,897.32 = 9,766.14 : x
  2. Step 2: Convert to fraction form
    17,317.94/23,897.32 = 9,766.14/x
  3. Step 3: Cross multiply
    17,317.94x = 23,897.32 × 9,766.14
  4. Step 4: Simplify right side
    17,317.94x = 233,384,572.74
  5. Step 5: Solve for x
    x = 233,384,572.74/17,317.94
  6. Step 6: Final answer
    x = 13,476.46

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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.