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Finding the Fourth Proportional to 14,716.68, 22,084.72 and 6,926.08

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Solution

The fourth proportional to 14,716.68, 22,084.72 and 6,926.08 is: 10,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.68 : 22,084.72 = 6,926.08 : x
  2. Step 2: Convert to fraction form
    14,716.68/22,084.72 = 6,926.08/x
  3. Step 3: Cross multiply
    14,716.68x = 22,084.72 × 6,926.08
  4. Step 4: Simplify right side
    14,716.68x = 152,960,537.50
  5. Step 5: Solve for x
    x = 152,960,537.50/14,716.68
  6. Step 6: Final answer
    x = 10,393.69

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Why These Related Problems?

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