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Finding the Fourth Proportional to 12,276.88, 16,930.92 and 8,024.08

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Solution

The fourth proportional to 12,276.88, 16,930.92 and 8,024.08 is: 11,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.88 : 16,930.92 = 8,024.08 : x
  2. Step 2: Convert to fraction form
    12,276.88/16,930.92 = 8,024.08/x
  3. Step 3: Cross multiply
    12,276.88x = 16,930.92 × 8,024.08
  4. Step 4: Simplify right side
    12,276.88x = 135,855,056.55
  5. Step 5: Solve for x
    x = 135,855,056.55/12,276.88
  6. Step 6: Final answer
    x = 11,065.93

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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.