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Finding the Fourth Proportional to 14,344.68, 21,497.56 and 6,934.38

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Solution

The fourth proportional to 14,344.68, 21,497.56 and 6,934.38 is: 10,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.68 : 21,497.56 = 6,934.38 : x
  2. Step 2: Convert to fraction form
    14,344.68/21,497.56 = 6,934.38/x
  3. Step 3: Cross multiply
    14,344.68x = 21,497.56 × 6,934.38
  4. Step 4: Simplify right side
    14,344.68x = 149,072,250.11
  5. Step 5: Solve for x
    x = 149,072,250.11/14,344.68
  6. Step 6: Final answer
    x = 10,392.16

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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.