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Finding the Fourth Proportional to 12,009.60, 18,005.76 and 6,161.40

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Solution

The fourth proportional to 12,009.60, 18,005.76 and 6,161.40 is: 9,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.60 : 18,005.76 = 6,161.40 : x
  2. Step 2: Convert to fraction form
    12,009.60/18,005.76 = 6,161.40/x
  3. Step 3: Cross multiply
    12,009.60x = 18,005.76 × 6,161.40
  4. Step 4: Simplify right side
    12,009.60x = 110,940,689.66
  5. Step 5: Solve for x
    x = 110,940,689.66/12,009.60
  6. Step 6: Final answer
    x = 9,237.67

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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.