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Finding the Fourth Proportional to 14,510.94, 20,024.91 and 8,542.86

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Solution

The fourth proportional to 14,510.94, 20,024.91 and 8,542.86 is: 11,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.94 : 20,024.91 = 8,542.86 : x
  2. Step 2: Convert to fraction form
    14,510.94/20,024.91 = 8,542.86/x
  3. Step 3: Cross multiply
    14,510.94x = 20,024.91 × 8,542.86
  4. Step 4: Simplify right side
    14,510.94x = 171,070,002.64
  5. Step 5: Solve for x
    x = 171,070,002.64/14,510.94
  6. Step 6: Final answer
    x = 11,789.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.