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Finding the Fourth Proportional to 19,306, 28,934.52 and 8,199.64

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Solution

The fourth proportional to 19,306, 28,934.52 and 8,199.64 is: 12,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306 : 28,934.52 = 8,199.64 : x
  2. Step 2: Convert to fraction form
    19,306/28,934.52 = 8,199.64/x
  3. Step 3: Cross multiply
    19,306x = 28,934.52 × 8,199.64
  4. Step 4: Simplify right side
    19,306x = 237,252,647.57
  5. Step 5: Solve for x
    x = 237,252,647.57/19,306
  6. Step 6: Final answer
    x = 12,289.06

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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.