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Finding the Fourth Proportional to 12,358.93, 17,035.37 and 9,665.38

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Solution

The fourth proportional to 12,358.93, 17,035.37 and 9,665.38 is: 13,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.93 : 17,035.37 = 9,665.38 : x
  2. Step 2: Convert to fraction form
    12,358.93/17,035.37 = 9,665.38/x
  3. Step 3: Cross multiply
    12,358.93x = 17,035.37 × 9,665.38
  4. Step 4: Simplify right side
    12,358.93x = 164,653,324.49
  5. Step 5: Solve for x
    x = 164,653,324.49/12,358.93
  6. Step 6: Final answer
    x = 13,322.62

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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.