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Finding the Fourth Proportional to 28,937.76, 43,398 and 10,214.28

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Solution

The fourth proportional to 28,937.76, 43,398 and 10,214.28 is: 15,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,937.76 : 43,398 = 10,214.28 : x
  2. Step 2: Convert to fraction form
    28,937.76/43,398 = 10,214.28/x
  3. Step 3: Cross multiply
    28,937.76x = 43,398 × 10,214.28
  4. Step 4: Simplify right side
    28,937.76x = 443,279,323.44
  5. Step 5: Solve for x
    x = 443,279,323.44/28,937.76
  6. Step 6: Final answer
    x = 15,318.37

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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.