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Finding the Fourth Proportional to 15,884.82, 21,920.71 and 9,833.45

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Solution

The fourth proportional to 15,884.82, 21,920.71 and 9,833.45 is: 13,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.82 : 21,920.71 = 9,833.45 : x
  2. Step 2: Convert to fraction form
    15,884.82/21,920.71 = 9,833.45/x
  3. Step 3: Cross multiply
    15,884.82x = 21,920.71 × 9,833.45
  4. Step 4: Simplify right side
    15,884.82x = 215,556,205.75
  5. Step 5: Solve for x
    x = 215,556,205.75/15,884.82
  6. Step 6: Final answer
    x = 13,569.95

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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.