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Finding the Fourth Proportional to 17,789.64, 24,531.24 and 15,280

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Solution

The fourth proportional to 17,789.64, 24,531.24 and 15,280 is: 21,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.64 : 24,531.24 = 15,280 : x
  2. Step 2: Convert to fraction form
    17,789.64/24,531.24 = 15,280/x
  3. Step 3: Cross multiply
    17,789.64x = 24,531.24 × 15,280
  4. Step 4: Simplify right side
    17,789.64x = 374,837,347.20
  5. Step 5: Solve for x
    x = 374,837,347.20/17,789.64
  6. Step 6: Final answer
    x = 21,070.54

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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.