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Finding the Fourth Proportional to 14,023.89, 19,352.84 and 7,736.22

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Solution

The fourth proportional to 14,023.89, 19,352.84 and 7,736.22 is: 10,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.89 : 19,352.84 = 7,736.22 : x
  2. Step 2: Convert to fraction form
    14,023.89/19,352.84 = 7,736.22/x
  3. Step 3: Cross multiply
    14,023.89x = 19,352.84 × 7,736.22
  4. Step 4: Simplify right side
    14,023.89x = 149,717,789.18
  5. Step 5: Solve for x
    x = 149,717,789.18/14,023.89
  6. Step 6: Final answer
    x = 10,675.91

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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.