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Finding the Fourth Proportional to 19,500.40, 29,252.40 and 7,811.20

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Solution

The fourth proportional to 19,500.40, 29,252.40 and 7,811.20 is: 11,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.40 : 29,252.40 = 7,811.20 : x
  2. Step 2: Convert to fraction form
    19,500.40/29,252.40 = 7,811.20/x
  3. Step 3: Cross multiply
    19,500.40x = 29,252.40 × 7,811.20
  4. Step 4: Simplify right side
    19,500.40x = 228,496,346.88
  5. Step 5: Solve for x
    x = 228,496,346.88/19,500.40
  6. Step 6: Final answer
    x = 11,717.52

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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.