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Finding the Fourth Proportional to 12,059.60, 18,078.63 and 6,133.17

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Solution

The fourth proportional to 12,059.60, 18,078.63 and 6,133.17 is: 9,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.60 : 18,078.63 = 6,133.17 : x
  2. Step 2: Convert to fraction form
    12,059.60/18,078.63 = 6,133.17/x
  3. Step 3: Cross multiply
    12,059.60x = 18,078.63 × 6,133.17
  4. Step 4: Simplify right side
    12,059.60x = 110,879,254.26
  5. Step 5: Solve for x
    x = 110,879,254.26/12,059.60
  6. Step 6: Final answer
    x = 9,194.27

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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.