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Finding the Fourth Proportional to 19,086.66, 28,635.12 and 7,987.50

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Solution

The fourth proportional to 19,086.66, 28,635.12 and 7,987.50 is: 11,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.66 : 28,635.12 = 7,987.50 : x
  2. Step 2: Convert to fraction form
    19,086.66/28,635.12 = 7,987.50/x
  3. Step 3: Cross multiply
    19,086.66x = 28,635.12 × 7,987.50
  4. Step 4: Simplify right side
    19,086.66x = 228,723,021
  5. Step 5: Solve for x
    x = 228,723,021/19,086.66
  6. Step 6: Final answer
    x = 11,983.40

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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.