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Finding the Fourth Proportional to 19,112.50, 28,664.19 and 8,019.40

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Solution

The fourth proportional to 19,112.50, 28,664.19 and 8,019.40 is: 12,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,112.50 : 28,664.19 = 8,019.40 : x
  2. Step 2: Convert to fraction form
    19,112.50/28,664.19 = 8,019.40/x
  3. Step 3: Cross multiply
    19,112.50x = 28,664.19 × 8,019.40
  4. Step 4: Simplify right side
    19,112.50x = 229,869,533.63
  5. Step 5: Solve for x
    x = 229,869,533.63/19,112.50
  6. Step 6: Final answer
    x = 12,027.18

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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.