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Finding the Fourth Proportional to 15,827.31, 21,846 and 9,855.48

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Solution

The fourth proportional to 15,827.31, 21,846 and 9,855.48 is: 13,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.31 : 21,846 = 9,855.48 : x
  2. Step 2: Convert to fraction form
    15,827.31/21,846 = 9,855.48/x
  3. Step 3: Cross multiply
    15,827.31x = 21,846 × 9,855.48
  4. Step 4: Simplify right side
    15,827.31x = 215,302,816.08
  5. Step 5: Solve for x
    x = 215,302,816.08/15,827.31
  6. Step 6: Final answer
    x = 13,603.25

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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.