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Finding the Fourth Proportional to 14,226.57, 19,632.68 and 7,853.17

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Solution

The fourth proportional to 14,226.57, 19,632.68 and 7,853.17 is: 10,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.57 : 19,632.68 = 7,853.17 : x
  2. Step 2: Convert to fraction form
    14,226.57/19,632.68 = 7,853.17/x
  3. Step 3: Cross multiply
    14,226.57x = 19,632.68 × 7,853.17
  4. Step 4: Simplify right side
    14,226.57x = 154,178,685.25
  5. Step 5: Solve for x
    x = 154,178,685.25/14,226.57
  6. Step 6: Final answer
    x = 10,837.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.