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Finding the Fourth Proportional to 15,822.86, 21,845.02 and 9,862.60

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Solution

The fourth proportional to 15,822.86, 21,845.02 and 9,862.60 is: 13,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.86 : 21,845.02 = 9,862.60 : x
  2. Step 2: Convert to fraction form
    15,822.86/21,845.02 = 9,862.60/x
  3. Step 3: Cross multiply
    15,822.86x = 21,845.02 × 9,862.60
  4. Step 4: Simplify right side
    15,822.86x = 215,448,615.98
  5. Step 5: Solve for x
    x = 215,448,615.98/15,822.86
  6. Step 6: Final answer
    x = 13,616.29

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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.