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Finding the Fourth Proportional to 24,224.56, 36,285.76 and 11,088

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Solution

The fourth proportional to 24,224.56, 36,285.76 and 11,088 is: 16,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.56 : 36,285.76 = 11,088 : x
  2. Step 2: Convert to fraction form
    24,224.56/36,285.76 = 11,088/x
  3. Step 3: Cross multiply
    24,224.56x = 36,285.76 × 11,088
  4. Step 4: Simplify right side
    24,224.56x = 402,336,506.88
  5. Step 5: Solve for x
    x = 402,336,506.88/24,224.56
  6. Step 6: Final answer
    x = 16,608.62

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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.