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Finding the Fourth Proportional to 12,238.04, 16,893.42 and 9,254.54

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Solution

The fourth proportional to 12,238.04, 16,893.42 and 9,254.54 is: 12,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.04 : 16,893.42 = 9,254.54 : x
  2. Step 2: Convert to fraction form
    12,238.04/16,893.42 = 9,254.54/x
  3. Step 3: Cross multiply
    12,238.04x = 16,893.42 × 9,254.54
  4. Step 4: Simplify right side
    12,238.04x = 156,340,831.13
  5. Step 5: Solve for x
    x = 156,340,831.13/12,238.04
  6. Step 6: Final answer
    x = 12,774.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.