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Finding the Fourth Proportional to 30,640.47, 42,284.87 and 17,214.09

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Solution

The fourth proportional to 30,640.47, 42,284.87 and 17,214.09 is: 23,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.47 : 42,284.87 = 17,214.09 : x
  2. Step 2: Convert to fraction form
    30,640.47/42,284.87 = 17,214.09/x
  3. Step 3: Cross multiply
    30,640.47x = 42,284.87 × 17,214.09
  4. Step 4: Simplify right side
    30,640.47x = 727,895,557.82
  5. Step 5: Solve for x
    x = 727,895,557.82/30,640.47
  6. Step 6: Final answer
    x = 23,756.02

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