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Finding the Fourth Proportional to 29,594.25, 40,841.28 and 17,019

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Solution

The fourth proportional to 29,594.25, 40,841.28 and 17,019 is: 23,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.25 : 40,841.28 = 17,019 : x
  2. Step 2: Convert to fraction form
    29,594.25/40,841.28 = 17,019/x
  3. Step 3: Cross multiply
    29,594.25x = 40,841.28 × 17,019
  4. Step 4: Simplify right side
    29,594.25x = 695,077,744.32
  5. Step 5: Solve for x
    x = 695,077,744.32/29,594.25
  6. Step 6: Final answer
    x = 23,486.92

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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.