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Finding the Fourth Proportional to 13,663.54, 20,455.89 and 8,024.12

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Solution

The fourth proportional to 13,663.54, 20,455.89 and 8,024.12 is: 12,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.54 : 20,455.89 = 8,024.12 : x
  2. Step 2: Convert to fraction form
    13,663.54/20,455.89 = 8,024.12/x
  3. Step 3: Cross multiply
    13,663.54x = 20,455.89 × 8,024.12
  4. Step 4: Simplify right side
    13,663.54x = 164,140,516.07
  5. Step 5: Solve for x
    x = 164,140,516.07/13,663.54
  6. Step 6: Final answer
    x = 12,013.03

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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.