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Finding the Fourth Proportional to 16,465.14, 22,721.82 and 9,391.54

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Solution

The fourth proportional to 16,465.14, 22,721.82 and 9,391.54 is: 12,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.14 : 22,721.82 = 9,391.54 : x
  2. Step 2: Convert to fraction form
    16,465.14/22,721.82 = 9,391.54/x
  3. Step 3: Cross multiply
    16,465.14x = 22,721.82 × 9,391.54
  4. Step 4: Simplify right side
    16,465.14x = 213,392,881.40
  5. Step 5: Solve for x
    x = 213,392,881.40/16,465.14
  6. Step 6: Final answer
    x = 12,960.28

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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.