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Finding the Fourth Proportional to 13,193.47, 19,790 and 5,298.00

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Solution

The fourth proportional to 13,193.47, 19,790 and 5,298.00 is: 7,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.47 : 19,790 = 5,298.00 : x
  2. Step 2: Convert to fraction form
    13,193.47/19,790 = 5,298.00/x
  3. Step 3: Cross multiply
    13,193.47x = 19,790 × 5,298.00
  4. Step 4: Simplify right side
    13,193.47x = 104,847,321.05
  5. Step 5: Solve for x
    x = 104,847,321.05/13,193.47
  6. Step 6: Final answer
    x = 7,946.91

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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.