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Finding the Fourth Proportional to 12,380.32, 18,570.48 and 6,220

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Solution

The fourth proportional to 12,380.32, 18,570.48 and 6,220 is: 9,330

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.32 : 18,570.48 = 6,220 : x
  2. Step 2: Convert to fraction form
    12,380.32/18,570.48 = 6,220/x
  3. Step 3: Cross multiply
    12,380.32x = 18,570.48 × 6,220
  4. Step 4: Simplify right side
    12,380.32x = 115,508,385.60
  5. Step 5: Solve for x
    x = 115,508,385.60/12,380.32
  6. Step 6: Final answer
    x = 9,330

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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.