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Finding the Fourth Proportional to 14,748.96, 20,353.68 and 8,460.96

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Solution

The fourth proportional to 14,748.96, 20,353.68 and 8,460.96 is: 11,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.96 : 20,353.68 = 8,460.96 : x
  2. Step 2: Convert to fraction form
    14,748.96/20,353.68 = 8,460.96/x
  3. Step 3: Cross multiply
    14,748.96x = 20,353.68 × 8,460.96
  4. Step 4: Simplify right side
    14,748.96x = 172,211,672.33
  5. Step 5: Solve for x
    x = 172,211,672.33/14,748.96
  6. Step 6: Final answer
    x = 11,676.19

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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.