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Finding the Fourth Proportional to 42,284, 63,426 and 17,660

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Solution

The fourth proportional to 42,284, 63,426 and 17,660 is: 26,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284 : 63,426 = 17,660 : x
  2. Step 2: Convert to fraction form
    42,284/63,426 = 17,660/x
  3. Step 3: Cross multiply
    42,284x = 63,426 × 17,660
  4. Step 4: Simplify right side
    42,284x = 1,120,103,160
  5. Step 5: Solve for x
    x = 1,120,103,160/42,284
  6. Step 6: Final answer
    x = 26,490

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.