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Finding the Fourth Proportional to 17,312.16, 23,882.43 and 11,341.20

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Solution

The fourth proportional to 17,312.16, 23,882.43 and 11,341.20 is: 15,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.16 : 23,882.43 = 11,341.20 : x
  2. Step 2: Convert to fraction form
    17,312.16/23,882.43 = 11,341.20/x
  3. Step 3: Cross multiply
    17,312.16x = 23,882.43 × 11,341.20
  4. Step 4: Simplify right side
    17,312.16x = 270,855,415.12
  5. Step 5: Solve for x
    x = 270,855,415.12/17,312.16
  6. Step 6: Final answer
    x = 15,645.39

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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.