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Finding the Fourth Proportional to 15,823.36, 21,845.71 and 9,863.10

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Solution

The fourth proportional to 15,823.36, 21,845.71 and 9,863.10 is: 13,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.36 : 21,845.71 = 9,863.10 : x
  2. Step 2: Convert to fraction form
    15,823.36/21,845.71 = 9,863.10/x
  3. Step 3: Cross multiply
    15,823.36x = 21,845.71 × 9,863.10
  4. Step 4: Simplify right side
    15,823.36x = 215,466,372.99
  5. Step 5: Solve for x
    x = 215,466,372.99/15,823.36
  6. Step 6: Final answer
    x = 13,616.98

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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.