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Finding the Fourth Proportional to 19,993.02, 29,973.32 and 8,314.98

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Solution

The fourth proportional to 19,993.02, 29,973.32 and 8,314.98 is: 12,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.02 : 29,973.32 = 8,314.98 : x
  2. Step 2: Convert to fraction form
    19,993.02/29,973.32 = 8,314.98/x
  3. Step 3: Cross multiply
    19,993.02x = 29,973.32 × 8,314.98
  4. Step 4: Simplify right side
    19,993.02x = 249,227,556.33
  5. Step 5: Solve for x
    x = 249,227,556.33/19,993.02
  6. Step 6: Final answer
    x = 12,465.73

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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.