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Finding the Fourth Proportional to 19,814.10, 29,695.95 and 8,114.10

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Solution

The fourth proportional to 19,814.10, 29,695.95 and 8,114.10 is: 12,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.10 : 29,695.95 = 8,114.10 : x
  2. Step 2: Convert to fraction form
    19,814.10/29,695.95 = 8,114.10/x
  3. Step 3: Cross multiply
    19,814.10x = 29,695.95 × 8,114.10
  4. Step 4: Simplify right side
    19,814.10x = 240,955,907.90
  5. Step 5: Solve for x
    x = 240,955,907.90/19,814.10
  6. Step 6: Final answer
    x = 12,160.83

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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.