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Finding the Fourth Proportional to 14,323, 19,768.12 and 8,354.67

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Solution

The fourth proportional to 14,323, 19,768.12 and 8,354.67 is: 11,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323 : 19,768.12 = 8,354.67 : x
  2. Step 2: Convert to fraction form
    14,323/19,768.12 = 8,354.67/x
  3. Step 3: Cross multiply
    14,323x = 19,768.12 × 8,354.67
  4. Step 4: Simplify right side
    14,323x = 165,156,119.12
  5. Step 5: Solve for x
    x = 165,156,119.12/14,323
  6. Step 6: Final answer
    x = 11,530.83

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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.