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Finding the Fourth Proportional to 14,827.29, 20,461.48 and 8,453.68

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Solution

The fourth proportional to 14,827.29, 20,461.48 and 8,453.68 is: 11,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.29 : 20,461.48 = 8,453.68 : x
  2. Step 2: Convert to fraction form
    14,827.29/20,461.48 = 8,453.68/x
  3. Step 3: Cross multiply
    14,827.29x = 20,461.48 × 8,453.68
  4. Step 4: Simplify right side
    14,827.29x = 172,974,731.96
  5. Step 5: Solve for x
    x = 172,974,731.96/14,827.29
  6. Step 6: Final answer
    x = 11,665.97

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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.