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Finding the Fourth Proportional to 12,801.10, 19,201.65 and 9,083.20

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Solution

The fourth proportional to 12,801.10, 19,201.65 and 9,083.20 is: 13,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.10 : 19,201.65 = 9,083.20 : x
  2. Step 2: Convert to fraction form
    12,801.10/19,201.65 = 9,083.20/x
  3. Step 3: Cross multiply
    12,801.10x = 19,201.65 × 9,083.20
  4. Step 4: Simplify right side
    12,801.10x = 174,412,427.28
  5. Step 5: Solve for x
    x = 174,412,427.28/12,801.10
  6. Step 6: Final answer
    x = 13,624.80

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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.