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Finding the Fourth Proportional to 14,041.50, 19,379.88 and 8,073.24

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Solution

The fourth proportional to 14,041.50, 19,379.88 and 8,073.24 is: 11,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.50 : 19,379.88 = 8,073.24 : x
  2. Step 2: Convert to fraction form
    14,041.50/19,379.88 = 8,073.24/x
  3. Step 3: Cross multiply
    14,041.50x = 19,379.88 × 8,073.24
  4. Step 4: Simplify right side
    14,041.50x = 156,458,422.41
  5. Step 5: Solve for x
    x = 156,458,422.41/14,041.50
  6. Step 6: Final answer
    x = 11,142.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.