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Finding the Fourth Proportional to 11,874.04, 17,829.52 and 11,348.14

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Solution

The fourth proportional to 11,874.04, 17,829.52 and 11,348.14 is: 17,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.04 : 17,829.52 = 11,348.14 : x
  2. Step 2: Convert to fraction form
    11,874.04/17,829.52 = 11,348.14/x
  3. Step 3: Cross multiply
    11,874.04x = 17,829.52 × 11,348.14
  4. Step 4: Simplify right side
    11,874.04x = 202,331,824.51
  5. Step 5: Solve for x
    x = 202,331,824.51/11,874.04
  6. Step 6: Final answer
    x = 17,039.84

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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.