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Finding the Fourth Proportional to 14,367.99, 19,821.74 and 8,775.75

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Solution

The fourth proportional to 14,367.99, 19,821.74 and 8,775.75 is: 12,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.99 : 19,821.74 = 8,775.75 : x
  2. Step 2: Convert to fraction form
    14,367.99/19,821.74 = 8,775.75/x
  3. Step 3: Cross multiply
    14,367.99x = 19,821.74 × 8,775.75
  4. Step 4: Simplify right side
    14,367.99x = 173,950,590.93
  5. Step 5: Solve for x
    x = 173,950,590.93/14,367.99
  6. Step 6: Final answer
    x = 12,106.81

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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.