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Finding the Fourth Proportional to 11,841.36, 17,782.20 and 11,346

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Solution

The fourth proportional to 11,841.36, 17,782.20 and 11,346 is: 17,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.36 : 17,782.20 = 11,346 : x
  2. Step 2: Convert to fraction form
    11,841.36/17,782.20 = 11,346/x
  3. Step 3: Cross multiply
    11,841.36x = 17,782.20 × 11,346
  4. Step 4: Simplify right side
    11,841.36x = 201,756,841.20
  5. Step 5: Solve for x
    x = 201,756,841.20/11,841.36
  6. Step 6: Final answer
    x = 17,038.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.