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Finding the Fourth Proportional to 13,077.62, 19,606.32 and 6,498.70

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Solution

The fourth proportional to 13,077.62, 19,606.32 and 6,498.70 is: 9,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.62 : 19,606.32 = 6,498.70 : x
  2. Step 2: Convert to fraction form
    13,077.62/19,606.32 = 6,498.70/x
  3. Step 3: Cross multiply
    13,077.62x = 19,606.32 × 6,498.70
  4. Step 4: Simplify right side
    13,077.62x = 127,415,591.78
  5. Step 5: Solve for x
    x = 127,415,591.78/13,077.62
  6. Step 6: Final answer
    x = 9,743.03

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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.