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Finding the Fourth Proportional to 14,152.40, 19,524.26 and 8,838

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Solution

The fourth proportional to 14,152.40, 19,524.26 and 8,838 is: 12,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.40 : 19,524.26 = 8,838 : x
  2. Step 2: Convert to fraction form
    14,152.40/19,524.26 = 8,838/x
  3. Step 3: Cross multiply
    14,152.40x = 19,524.26 × 8,838
  4. Step 4: Simplify right side
    14,152.40x = 172,555,409.88
  5. Step 5: Solve for x
    x = 172,555,409.88/14,152.40
  6. Step 6: Final answer
    x = 12,192.66

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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.