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Finding the Fourth Proportional to 22,342.95, 30,834 and 12,911.54

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Solution

The fourth proportional to 22,342.95, 30,834 and 12,911.54 is: 17,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.95 : 30,834 = 12,911.54 : x
  2. Step 2: Convert to fraction form
    22,342.95/30,834 = 12,911.54/x
  3. Step 3: Cross multiply
    22,342.95x = 30,834 × 12,911.54
  4. Step 4: Simplify right side
    22,342.95x = 398,114,270.19
  5. Step 5: Solve for x
    x = 398,114,270.19/22,342.95
  6. Step 6: Final answer
    x = 17,818.34

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