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Finding the Fourth Proportional to 19,283.70, 28,926.90 and 8,189.16

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Solution

The fourth proportional to 19,283.70, 28,926.90 and 8,189.16 is: 12,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283.70 : 28,926.90 = 8,189.16 : x
  2. Step 2: Convert to fraction form
    19,283.70/28,926.90 = 8,189.16/x
  3. Step 3: Cross multiply
    19,283.70x = 28,926.90 × 8,189.16
  4. Step 4: Simplify right side
    19,283.70x = 236,887,012.40
  5. Step 5: Solve for x
    x = 236,887,012.40/19,283.70
  6. Step 6: Final answer
    x = 12,284.31

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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.