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Finding the Fourth Proportional to 13,212.02, 19,804.60 and 8,285.10

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Solution

The fourth proportional to 13,212.02, 19,804.60 and 8,285.10 is: 12,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.02 : 19,804.60 = 8,285.10 : x
  2. Step 2: Convert to fraction form
    13,212.02/19,804.60 = 8,285.10/x
  3. Step 3: Cross multiply
    13,212.02x = 19,804.60 × 8,285.10
  4. Step 4: Simplify right side
    13,212.02x = 164,083,027.55
  5. Step 5: Solve for x
    x = 164,083,027.55/13,212.02
  6. Step 6: Final answer
    x = 12,419.22

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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.