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Finding the Fourth Proportional to 17,369.16, 23,969.40 and 9,411.36

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Solution

The fourth proportional to 17,369.16, 23,969.40 and 9,411.36 is: 12,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369.16 : 23,969.40 = 9,411.36 : x
  2. Step 2: Convert to fraction form
    17,369.16/23,969.40 = 9,411.36/x
  3. Step 3: Cross multiply
    17,369.16x = 23,969.40 × 9,411.36
  4. Step 4: Simplify right side
    17,369.16x = 225,584,652.38
  5. Step 5: Solve for x
    x = 225,584,652.38/17,369.16
  6. Step 6: Final answer
    x = 12,987.65

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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.