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Finding the Fourth Proportional to 17,893.96, 24,689.75 and 10,820.23

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Solution

The fourth proportional to 17,893.96, 24,689.75 and 10,820.23 is: 14,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893.96 : 24,689.75 = 10,820.23 : x
  2. Step 2: Convert to fraction form
    17,893.96/24,689.75 = 10,820.23/x
  3. Step 3: Cross multiply
    17,893.96x = 24,689.75 × 10,820.23
  4. Step 4: Simplify right side
    17,893.96x = 267,148,657.82
  5. Step 5: Solve for x
    x = 267,148,657.82/17,893.96
  6. Step 6: Final answer
    x = 14,929.55

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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.