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Finding the Fourth Proportional to 19,502.67, 29,264.90 and 7,816.80

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Solution

The fourth proportional to 19,502.67, 29,264.90 and 7,816.80 is: 11,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.67 : 29,264.90 = 7,816.80 : x
  2. Step 2: Convert to fraction form
    19,502.67/29,264.90 = 7,816.80/x
  3. Step 3: Cross multiply
    19,502.67x = 29,264.90 × 7,816.80
  4. Step 4: Simplify right side
    19,502.67x = 228,757,831.24
  5. Step 5: Solve for x
    x = 228,757,831.24/19,502.67
  6. Step 6: Final answer
    x = 11,729.56

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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.