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Finding the Fourth Proportional to 17,978.08, 24,809.52 and 11,702.56

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Solution

The fourth proportional to 17,978.08, 24,809.52 and 11,702.56 is: 16,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.08 : 24,809.52 = 11,702.56 : x
  2. Step 2: Convert to fraction form
    17,978.08/24,809.52 = 11,702.56/x
  3. Step 3: Cross multiply
    17,978.08x = 24,809.52 × 11,702.56
  4. Step 4: Simplify right side
    17,978.08x = 290,334,896.37
  5. Step 5: Solve for x
    x = 290,334,896.37/17,978.08
  6. Step 6: Final answer
    x = 16,149.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.