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Finding the Fourth Proportional to 15,843.80, 21,864.16 and 9,129.41

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Solution

The fourth proportional to 15,843.80, 21,864.16 and 9,129.41 is: 12,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.80 : 21,864.16 = 9,129.41 : x
  2. Step 2: Convert to fraction form
    15,843.80/21,864.16 = 9,129.41/x
  3. Step 3: Cross multiply
    15,843.80x = 21,864.16 × 9,129.41
  4. Step 4: Simplify right side
    15,843.80x = 199,606,880.95
  5. Step 5: Solve for x
    x = 199,606,880.95/15,843.80
  6. Step 6: Final answer
    x = 12,598.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.