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Finding the Fourth Proportional to 23,876.43, 35,830.19 and 9,085.48

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Solution

The fourth proportional to 23,876.43, 35,830.19 and 9,085.48 is: 13,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.43 : 35,830.19 = 9,085.48 : x
  2. Step 2: Convert to fraction form
    23,876.43/35,830.19 = 9,085.48/x
  3. Step 3: Cross multiply
    23,876.43x = 35,830.19 × 9,085.48
  4. Step 4: Simplify right side
    23,876.43x = 325,534,295.49
  5. Step 5: Solve for x
    x = 325,534,295.49/23,876.43
  6. Step 6: Final answer
    x = 13,634.13

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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.