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Finding the Fourth Proportional to 14,873, 22,292.22 and 6,097.28

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Solution

The fourth proportional to 14,873, 22,292.22 and 6,097.28 is: 9,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873 : 22,292.22 = 6,097.28 : x
  2. Step 2: Convert to fraction form
    14,873/22,292.22 = 6,097.28/x
  3. Step 3: Cross multiply
    14,873x = 22,292.22 × 6,097.28
  4. Step 4: Simplify right side
    14,873x = 135,921,907.16
  5. Step 5: Solve for x
    x = 135,921,907.16/14,873
  6. Step 6: Final answer
    x = 9,138.84

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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.