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Finding the Fourth Proportional to 20,605.40, 30,916.20 and 8,123.30

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Solution

The fourth proportional to 20,605.40, 30,916.20 and 8,123.30 is: 12,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.40 : 30,916.20 = 8,123.30 : x
  2. Step 2: Convert to fraction form
    20,605.40/30,916.20 = 8,123.30/x
  3. Step 3: Cross multiply
    20,605.40x = 30,916.20 × 8,123.30
  4. Step 4: Simplify right side
    20,605.40x = 251,141,567.46
  5. Step 5: Solve for x
    x = 251,141,567.46/20,605.40
  6. Step 6: Final answer
    x = 12,188.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.