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Finding the Fourth Proportional to 14,513.32, 21,761.88 and 7,101.82

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Solution

The fourth proportional to 14,513.32, 21,761.88 and 7,101.82 is: 10,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.32 : 21,761.88 = 7,101.82 : x
  2. Step 2: Convert to fraction form
    14,513.32/21,761.88 = 7,101.82/x
  3. Step 3: Cross multiply
    14,513.32x = 21,761.88 × 7,101.82
  4. Step 4: Simplify right side
    14,513.32x = 154,548,954.62
  5. Step 5: Solve for x
    x = 154,548,954.62/14,513.32
  6. Step 6: Final answer
    x = 10,648.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.