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Finding the Fourth Proportional to 13,201.35, 19,804.95 and 3,842.10

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Solution

The fourth proportional to 13,201.35, 19,804.95 and 3,842.10 is: 5,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.35 : 19,804.95 = 3,842.10 : x
  2. Step 2: Convert to fraction form
    13,201.35/19,804.95 = 3,842.10/x
  3. Step 3: Cross multiply
    13,201.35x = 19,804.95 × 3,842.10
  4. Step 4: Simplify right side
    13,201.35x = 76,092,598.40
  5. Step 5: Solve for x
    x = 76,092,598.40/13,201.35
  6. Step 6: Final answer
    x = 5,764.00

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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.