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Finding the Fourth Proportional to 19,814.40, 29,710.80 and 8,114.40

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Solution

The fourth proportional to 19,814.40, 29,710.80 and 8,114.40 is: 12,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.40 : 29,710.80 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    19,814.40/29,710.80 = 8,114.40/x
  3. Step 3: Cross multiply
    19,814.40x = 29,710.80 × 8,114.40
  4. Step 4: Simplify right side
    19,814.40x = 241,085,315.52
  5. Step 5: Solve for x
    x = 241,085,315.52/19,814.40
  6. Step 6: Final answer
    x = 12,167.18

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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.