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Finding the Fourth Proportional to 13,060.66, 19,583.02 and 7,794.70

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Solution

The fourth proportional to 13,060.66, 19,583.02 and 7,794.70 is: 11,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.66 : 19,583.02 = 7,794.70 : x
  2. Step 2: Convert to fraction form
    13,060.66/19,583.02 = 7,794.70/x
  3. Step 3: Cross multiply
    13,060.66x = 19,583.02 × 7,794.70
  4. Step 4: Simplify right side
    13,060.66x = 152,643,765.99
  5. Step 5: Solve for x
    x = 152,643,765.99/13,060.66
  6. Step 6: Final answer
    x = 11,687.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.