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Finding the Fourth Proportional to 12,513.81, 17,269.06 and 6,924.81

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Solution

The fourth proportional to 12,513.81, 17,269.06 and 6,924.81 is: 9,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.81 : 17,269.06 = 6,924.81 : x
  2. Step 2: Convert to fraction form
    12,513.81/17,269.06 = 6,924.81/x
  3. Step 3: Cross multiply
    12,513.81x = 17,269.06 × 6,924.81
  4. Step 4: Simplify right side
    12,513.81x = 119,584,959.38
  5. Step 5: Solve for x
    x = 119,584,959.38/12,513.81
  6. Step 6: Final answer
    x = 9,556.24

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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.