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Finding the Fourth Proportional to 14,307.63, 19,745.74 and 8,021.22

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Solution

The fourth proportional to 14,307.63, 19,745.74 and 8,021.22 is: 11,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.63 : 19,745.74 = 8,021.22 : x
  2. Step 2: Convert to fraction form
    14,307.63/19,745.74 = 8,021.22/x
  3. Step 3: Cross multiply
    14,307.63x = 19,745.74 × 8,021.22
  4. Step 4: Simplify right side
    14,307.63x = 158,384,924.60
  5. Step 5: Solve for x
    x = 158,384,924.60/14,307.63
  6. Step 6: Final answer
    x = 11,069.96

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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.