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Finding the Fourth Proportional to 10,218.60, 15,328.62 and 2,822.49

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Solution

The fourth proportional to 10,218.60, 15,328.62 and 2,822.49 is: 4,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.60 : 15,328.62 = 2,822.49 : x
  2. Step 2: Convert to fraction form
    10,218.60/15,328.62 = 2,822.49/x
  3. Step 3: Cross multiply
    10,218.60x = 15,328.62 × 2,822.49
  4. Step 4: Simplify right side
    10,218.60x = 43,264,876.66
  5. Step 5: Solve for x
    x = 43,264,876.66/10,218.60
  6. Step 6: Final answer
    x = 4,233.93

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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.