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Finding the Fourth Proportional to 28,091.34, 42,137.28 and 11,448

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Solution

The fourth proportional to 28,091.34, 42,137.28 and 11,448 is: 17,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,091.34 : 42,137.28 = 11,448 : x
  2. Step 2: Convert to fraction form
    28,091.34/42,137.28 = 11,448/x
  3. Step 3: Cross multiply
    28,091.34x = 42,137.28 × 11,448
  4. Step 4: Simplify right side
    28,091.34x = 482,387,581.44
  5. Step 5: Solve for x
    x = 482,387,581.44/28,091.34
  6. Step 6: Final answer
    x = 17,172.11

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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.