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Finding the Fourth Proportional to 14,676.39, 20,248.52 and 8,302.10

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Solution

The fourth proportional to 14,676.39, 20,248.52 and 8,302.10 is: 11,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.39 : 20,248.52 = 8,302.10 : x
  2. Step 2: Convert to fraction form
    14,676.39/20,248.52 = 8,302.10/x
  3. Step 3: Cross multiply
    14,676.39x = 20,248.52 × 8,302.10
  4. Step 4: Simplify right side
    14,676.39x = 168,105,095.14
  5. Step 5: Solve for x
    x = 168,105,095.14/14,676.39
  6. Step 6: Final answer
    x = 11,454.12

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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.