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Finding the Fourth Proportional to 22,324.00, 30,809 and 12,254.14

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Solution

The fourth proportional to 22,324.00, 30,809 and 12,254.14 is: 16,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.00 : 30,809 = 12,254.14 : x
  2. Step 2: Convert to fraction form
    22,324.00/30,809 = 12,254.14/x
  3. Step 3: Cross multiply
    22,324.00x = 30,809 × 12,254.14
  4. Step 4: Simplify right side
    22,324.00x = 377,537,799.26
  5. Step 5: Solve for x
    x = 377,537,799.26/22,324.00
  6. Step 6: Final answer
    x = 16,911.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.