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Finding the Fourth Proportional to 14,297.38, 19,730.50 and 7,924.07

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Solution

The fourth proportional to 14,297.38, 19,730.50 and 7,924.07 is: 10,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.38 : 19,730.50 = 7,924.07 : x
  2. Step 2: Convert to fraction form
    14,297.38/19,730.50 = 7,924.07/x
  3. Step 3: Cross multiply
    14,297.38x = 19,730.50 × 7,924.07
  4. Step 4: Simplify right side
    14,297.38x = 156,345,892.65
  5. Step 5: Solve for x
    x = 156,345,892.65/14,297.38
  6. Step 6: Final answer
    x = 10,935.28

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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.