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Finding the Fourth Proportional to 12,384.70, 18,577.05 and 11,023.90

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Solution

The fourth proportional to 12,384.70, 18,577.05 and 11,023.90 is: 16,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.70 : 18,577.05 = 11,023.90 : x
  2. Step 2: Convert to fraction form
    12,384.70/18,577.05 = 11,023.90/x
  3. Step 3: Cross multiply
    12,384.70x = 18,577.05 × 11,023.90
  4. Step 4: Simplify right side
    12,384.70x = 204,791,541.50
  5. Step 5: Solve for x
    x = 204,791,541.50/12,384.70
  6. Step 6: Final answer
    x = 16,535.85

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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.