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Finding the Fourth Proportional to 23,224.29, 34,823.62 and 7,424.93

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Solution

The fourth proportional to 23,224.29, 34,823.62 and 7,424.93 is: 11,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.29 : 34,823.62 = 7,424.93 : x
  2. Step 2: Convert to fraction form
    23,224.29/34,823.62 = 7,424.93/x
  3. Step 3: Cross multiply
    23,224.29x = 34,823.62 × 7,424.93
  4. Step 4: Simplify right side
    23,224.29x = 258,562,940.85
  5. Step 5: Solve for x
    x = 258,562,940.85/23,224.29
  6. Step 6: Final answer
    x = 11,133.30

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1.5x scale

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.