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Finding the Fourth Proportional to 13,190.40, 19,785.80 and 4,305.70

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Solution

The fourth proportional to 13,190.40, 19,785.80 and 4,305.70 is: 6,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.40 : 19,785.80 = 4,305.70 : x
  2. Step 2: Convert to fraction form
    13,190.40/19,785.80 = 4,305.70/x
  3. Step 3: Cross multiply
    13,190.40x = 19,785.80 × 4,305.70
  4. Step 4: Simplify right side
    13,190.40x = 85,191,719.06
  5. Step 5: Solve for x
    x = 85,191,719.06/13,190.40
  6. Step 6: Final answer
    x = 6,458.62

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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.