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Finding the Fourth Proportional to 14,324.16, 21,493.80 and 7,749.12

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Solution

The fourth proportional to 14,324.16, 21,493.80 and 7,749.12 is: 11,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.16 : 21,493.80 = 7,749.12 : x
  2. Step 2: Convert to fraction form
    14,324.16/21,493.80 = 7,749.12/x
  3. Step 3: Cross multiply
    14,324.16x = 21,493.80 × 7,749.12
  4. Step 4: Simplify right side
    14,324.16x = 166,558,035.46
  5. Step 5: Solve for x
    x = 166,558,035.46/14,324.16
  6. Step 6: Final answer
    x = 11,627.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.