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Finding the Fourth Proportional to 27,904.30, 41,862.50 and 9,186.23

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Solution

The fourth proportional to 27,904.30, 41,862.50 and 9,186.23 is: 13,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.30 : 41,862.50 = 9,186.23 : x
  2. Step 2: Convert to fraction form
    27,904.30/41,862.50 = 9,186.23/x
  3. Step 3: Cross multiply
    27,904.30x = 41,862.50 × 9,186.23
  4. Step 4: Simplify right side
    27,904.30x = 384,558,462.74
  5. Step 5: Solve for x
    x = 384,558,462.74/27,904.30
  6. Step 6: Final answer
    x = 13,781.33

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