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Finding the Fourth Proportional to 14,324.76, 19,769.04 and 9,536.44

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Solution

The fourth proportional to 14,324.76, 19,769.04 and 9,536.44 is: 13,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.76 : 19,769.04 = 9,536.44 : x
  2. Step 2: Convert to fraction form
    14,324.76/19,769.04 = 9,536.44/x
  3. Step 3: Cross multiply
    14,324.76x = 19,769.04 × 9,536.44
  4. Step 4: Simplify right side
    14,324.76x = 188,526,263.82
  5. Step 5: Solve for x
    x = 188,526,263.82/14,324.76
  6. Step 6: Final answer
    x = 13,160.87

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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.