Home / 15,629-23,449.26-8,233.16

Finding the Fourth Proportional to 15,629, 23,449.26 and 8,233.16

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Solution

The fourth proportional to 15,629, 23,449.26 and 8,233.16 is: 12,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629 : 23,449.26 = 8,233.16 : x
  2. Step 2: Convert to fraction form
    15,629/23,449.26 = 8,233.16/x
  3. Step 3: Cross multiply
    15,629x = 23,449.26 × 8,233.16
  4. Step 4: Simplify right side
    15,629x = 193,061,509.46
  5. Step 5: Solve for x
    x = 193,061,509.46/15,629
  6. Step 6: Final answer
    x = 12,352.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.