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Finding the Fourth Proportional to 12,225.46, 18,341.85 and 7,027.69

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Solution

The fourth proportional to 12,225.46, 18,341.85 and 7,027.69 is: 10,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.46 : 18,341.85 = 7,027.69 : x
  2. Step 2: Convert to fraction form
    12,225.46/18,341.85 = 7,027.69/x
  3. Step 3: Cross multiply
    12,225.46x = 18,341.85 × 7,027.69
  4. Step 4: Simplify right side
    12,225.46x = 128,900,835.83
  5. Step 5: Solve for x
    x = 128,900,835.83/12,225.46
  6. Step 6: Final answer
    x = 10,543.64

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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.