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Finding the Fourth Proportional to 19,881.24, 29,824.72 and 7,400.20

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Solution

The fourth proportional to 19,881.24, 29,824.72 and 7,400.20 is: 11,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.24 : 29,824.72 = 7,400.20 : x
  2. Step 2: Convert to fraction form
    19,881.24/29,824.72 = 7,400.20/x
  3. Step 3: Cross multiply
    19,881.24x = 29,824.72 × 7,400.20
  4. Step 4: Simplify right side
    19,881.24x = 220,708,892.94
  5. Step 5: Solve for x
    x = 220,708,892.94/19,881.24
  6. Step 6: Final answer
    x = 11,101.36

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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.