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Finding the Fourth Proportional to 14,400.10, 19,879.98 and 9,947.80

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Solution

The fourth proportional to 14,400.10, 19,879.98 and 9,947.80 is: 13,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.10 : 19,879.98 = 9,947.80 : x
  2. Step 2: Convert to fraction form
    14,400.10/19,879.98 = 9,947.80/x
  3. Step 3: Cross multiply
    14,400.10x = 19,879.98 × 9,947.80
  4. Step 4: Simplify right side
    14,400.10x = 197,762,065.04
  5. Step 5: Solve for x
    x = 197,762,065.04/14,400.10
  6. Step 6: Final answer
    x = 13,733.38

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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.