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Finding the Fourth Proportional to 14,465.84, 21,691.56 and 6,668

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Solution

The fourth proportional to 14,465.84, 21,691.56 and 6,668 is: 9,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.84 : 21,691.56 = 6,668 : x
  2. Step 2: Convert to fraction form
    14,465.84/21,691.56 = 6,668/x
  3. Step 3: Cross multiply
    14,465.84x = 21,691.56 × 6,668
  4. Step 4: Simplify right side
    14,465.84x = 144,639,322.08
  5. Step 5: Solve for x
    x = 144,639,322.08/14,465.84
  6. Step 6: Final answer
    x = 9,998.68

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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.