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Finding the Fourth Proportional to 14,856.29, 22,288.64 and 6,097.49

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Solution

The fourth proportional to 14,856.29, 22,288.64 and 6,097.49 is: 9,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.29 : 22,288.64 = 6,097.49 : x
  2. Step 2: Convert to fraction form
    14,856.29/22,288.64 = 6,097.49/x
  3. Step 3: Cross multiply
    14,856.29x = 22,288.64 × 6,097.49
  4. Step 4: Simplify right side
    14,856.29x = 135,904,759.51
  5. Step 5: Solve for x
    x = 135,904,759.51/14,856.29
  6. Step 6: Final answer
    x = 9,147.96

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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.