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Finding the Fourth Proportional to 12,822.60, 19,235.88 and 5,427.10

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Solution

The fourth proportional to 12,822.60, 19,235.88 and 5,427.10 is: 8,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.60 : 19,235.88 = 5,427.10 : x
  2. Step 2: Convert to fraction form
    12,822.60/19,235.88 = 5,427.10/x
  3. Step 3: Cross multiply
    12,822.60x = 19,235.88 × 5,427.10
  4. Step 4: Simplify right side
    12,822.60x = 104,395,044.35
  5. Step 5: Solve for x
    x = 104,395,044.35/12,822.60
  6. Step 6: Final answer
    x = 8,141.49

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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.