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Finding the Fourth Proportional to 22,408.64, 30,939.23 and 14,354.10

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Solution

The fourth proportional to 22,408.64, 30,939.23 and 14,354.10 is: 19,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.64 : 30,939.23 = 14,354.10 : x
  2. Step 2: Convert to fraction form
    22,408.64/30,939.23 = 14,354.10/x
  3. Step 3: Cross multiply
    22,408.64x = 30,939.23 × 14,354.10
  4. Step 4: Simplify right side
    22,408.64x = 444,104,801.34
  5. Step 5: Solve for x
    x = 444,104,801.34/22,408.64
  6. Step 6: Final answer
    x = 19,818.46

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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.