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Finding the Fourth Proportional to 22,676.64, 34,023.60 and 10,356

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Solution

The fourth proportional to 22,676.64, 34,023.60 and 10,356 is: 15,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.64 : 34,023.60 = 10,356 : x
  2. Step 2: Convert to fraction form
    22,676.64/34,023.60 = 10,356/x
  3. Step 3: Cross multiply
    22,676.64x = 34,023.60 × 10,356
  4. Step 4: Simplify right side
    22,676.64x = 352,348,401.60
  5. Step 5: Solve for x
    x = 352,348,401.60/22,676.64
  6. Step 6: Final answer
    x = 15,537.95

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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.