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Finding the Fourth Proportional to 15,574.41, 23,369.83 and 6,815.48

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Solution

The fourth proportional to 15,574.41, 23,369.83 and 6,815.48 is: 10,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.41 : 23,369.83 = 6,815.48 : x
  2. Step 2: Convert to fraction form
    15,574.41/23,369.83 = 6,815.48/x
  3. Step 3: Cross multiply
    15,574.41x = 23,369.83 × 6,815.48
  4. Step 4: Simplify right side
    15,574.41x = 159,276,475.08
  5. Step 5: Solve for x
    x = 159,276,475.08/15,574.41
  6. Step 6: Final answer
    x = 10,226.81

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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.