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Finding the Fourth Proportional to 23,057.99, 34,590 and 8,268.56

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Solution

The fourth proportional to 23,057.99, 34,590 and 8,268.56 is: 12,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.99 : 34,590 = 8,268.56 : x
  2. Step 2: Convert to fraction form
    23,057.99/34,590 = 8,268.56/x
  3. Step 3: Cross multiply
    23,057.99x = 34,590 × 8,268.56
  4. Step 4: Simplify right side
    23,057.99x = 286,009,490.40
  5. Step 5: Solve for x
    x = 286,009,490.40/23,057.99
  6. Step 6: Final answer
    x = 12,403.92

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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.