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Finding the Fourth Proportional to 17,880.75, 26,814.65 and 8,014.95

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Solution

The fourth proportional to 17,880.75, 26,814.65 and 8,014.95 is: 12,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.75 : 26,814.65 = 8,014.95 : x
  2. Step 2: Convert to fraction form
    17,880.75/26,814.65 = 8,014.95/x
  3. Step 3: Cross multiply
    17,880.75x = 26,814.65 × 8,014.95
  4. Step 4: Simplify right side
    17,880.75x = 214,918,038.94
  5. Step 5: Solve for x
    x = 214,918,038.94/17,880.75
  6. Step 6: Final answer
    x = 12,019.52

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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.