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Finding the Fourth Proportional to 24,012.51, 36,024.90 and 9,222.51

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Solution

The fourth proportional to 24,012.51, 36,024.90 and 9,222.51 is: 13,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.51 : 36,024.90 = 9,222.51 : x
  2. Step 2: Convert to fraction form
    24,012.51/36,024.90 = 9,222.51/x
  3. Step 3: Cross multiply
    24,012.51x = 36,024.90 × 9,222.51
  4. Step 4: Simplify right side
    24,012.51x = 332,240,000.50
  5. Step 5: Solve for x
    x = 332,240,000.50/24,012.51
  6. Step 6: Final answer
    x = 13,836.12

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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.