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Finding the Fourth Proportional to 17,447.27, 24,076.71 and 9,894.29

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Solution

The fourth proportional to 17,447.27, 24,076.71 and 9,894.29 is: 13,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.27 : 24,076.71 = 9,894.29 : x
  2. Step 2: Convert to fraction form
    17,447.27/24,076.71 = 9,894.29/x
  3. Step 3: Cross multiply
    17,447.27x = 24,076.71 × 9,894.29
  4. Step 4: Simplify right side
    17,447.27x = 238,221,830.60
  5. Step 5: Solve for x
    x = 238,221,830.60/17,447.27
  6. Step 6: Final answer
    x = 13,653.82

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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.