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Finding the Fourth Proportional to 13,189.90, 19,785.06 and 4,305.20

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Solution

The fourth proportional to 13,189.90, 19,785.06 and 4,305.20 is: 6,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.90 : 19,785.06 = 4,305.20 : x
  2. Step 2: Convert to fraction form
    13,189.90/19,785.06 = 4,305.20/x
  3. Step 3: Cross multiply
    13,189.90x = 19,785.06 × 4,305.20
  4. Step 4: Simplify right side
    13,189.90x = 85,178,640.31
  5. Step 5: Solve for x
    x = 85,178,640.31/13,189.90
  6. Step 6: Final answer
    x = 6,457.87

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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.