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Finding the Fourth Proportional to 13,053.98, 19,582.18 and 3,694.02

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Solution

The fourth proportional to 13,053.98, 19,582.18 and 3,694.02 is: 5,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.98 : 19,582.18 = 3,694.02 : x
  2. Step 2: Convert to fraction form
    13,053.98/19,582.18 = 3,694.02/x
  3. Step 3: Cross multiply
    13,053.98x = 19,582.18 × 3,694.02
  4. Step 4: Simplify right side
    13,053.98x = 72,336,964.56
  5. Step 5: Solve for x
    x = 72,336,964.56/13,053.98
  6. Step 6: Final answer
    x = 5,541.37

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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.