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Finding the Fourth Proportional to 17,853.52, 26,784.03 and 5,374.46

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Solution

The fourth proportional to 17,853.52, 26,784.03 and 5,374.46 is: 8,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.52 : 26,784.03 = 5,374.46 : x
  2. Step 2: Convert to fraction form
    17,853.52/26,784.03 = 5,374.46/x
  3. Step 3: Cross multiply
    17,853.52x = 26,784.03 × 5,374.46
  4. Step 4: Simplify right side
    17,853.52x = 143,949,697.87
  5. Step 5: Solve for x
    x = 143,949,697.87/17,853.52
  6. Step 6: Final answer
    x = 8,062.82

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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.