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Finding the Fourth Proportional to 14,614.65, 21,917.72 and 5,253.08

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Solution

The fourth proportional to 14,614.65, 21,917.72 and 5,253.08 is: 7,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.65 : 21,917.72 = 5,253.08 : x
  2. Step 2: Convert to fraction form
    14,614.65/21,917.72 = 5,253.08/x
  3. Step 3: Cross multiply
    14,614.65x = 21,917.72 × 5,253.08
  4. Step 4: Simplify right side
    14,614.65x = 115,135,400.72
  5. Step 5: Solve for x
    x = 115,135,400.72/14,614.65
  6. Step 6: Final answer
    x = 7,878.08

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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.