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Finding the Fourth Proportional to 15,309.39, 22,961.16 and 4,213.29

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Solution

The fourth proportional to 15,309.39, 22,961.16 and 4,213.29 is: 6,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.39 : 22,961.16 = 4,213.29 : x
  2. Step 2: Convert to fraction form
    15,309.39/22,961.16 = 4,213.29/x
  3. Step 3: Cross multiply
    15,309.39x = 22,961.16 × 4,213.29
  4. Step 4: Simplify right side
    15,309.39x = 96,742,025.82
  5. Step 5: Solve for x
    x = 96,742,025.82/15,309.39
  6. Step 6: Final answer
    x = 6,319.13

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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.