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Finding the Fourth Proportional to 14,594.76, 20,138.74 and 8,306.44

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Solution

The fourth proportional to 14,594.76, 20,138.74 and 8,306.44 is: 11,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.76 : 20,138.74 = 8,306.44 : x
  2. Step 2: Convert to fraction form
    14,594.76/20,138.74 = 8,306.44/x
  3. Step 3: Cross multiply
    14,594.76x = 20,138.74 × 8,306.44
  4. Step 4: Simplify right side
    14,594.76x = 167,281,235.49
  5. Step 5: Solve for x
    x = 167,281,235.49/14,594.76
  6. Step 6: Final answer
    x = 11,461.73

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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.