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Finding the Fourth Proportional to 19,021.50, 28,542.06 and 8,494.74

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Solution

The fourth proportional to 19,021.50, 28,542.06 and 8,494.74 is: 12,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021.50 : 28,542.06 = 8,494.74 : x
  2. Step 2: Convert to fraction form
    19,021.50/28,542.06 = 8,494.74/x
  3. Step 3: Cross multiply
    19,021.50x = 28,542.06 × 8,494.74
  4. Step 4: Simplify right side
    19,021.50x = 242,457,378.76
  5. Step 5: Solve for x
    x = 242,457,378.76/19,021.50
  6. Step 6: Final answer
    x = 12,746.49

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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.