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Finding the Fourth Proportional to 17,807.54, 26,701.44 and 7,284.94

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Solution

The fourth proportional to 17,807.54, 26,701.44 and 7,284.94 is: 10,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.54 : 26,701.44 = 7,284.94 : x
  2. Step 2: Convert to fraction form
    17,807.54/26,701.44 = 7,284.94/x
  3. Step 3: Cross multiply
    17,807.54x = 26,701.44 × 7,284.94
  4. Step 4: Simplify right side
    17,807.54x = 194,518,388.31
  5. Step 5: Solve for x
    x = 194,518,388.31/17,807.54
  6. Step 6: Final answer
    x = 10,923.37

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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.