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Finding the Fourth Proportional to 22,658, 34,002.36 and 8,066

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Solution

The fourth proportional to 22,658, 34,002.36 and 8,066 is: 12,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658 : 34,002.36 = 8,066 : x
  2. Step 2: Convert to fraction form
    22,658/34,002.36 = 8,066/x
  3. Step 3: Cross multiply
    22,658x = 34,002.36 × 8,066
  4. Step 4: Simplify right side
    22,658x = 274,263,035.76
  5. Step 5: Solve for x
    x = 274,263,035.76/22,658
  6. Step 6: Final answer
    x = 12,104.47

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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.