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Finding the Fourth Proportional to 22,415.50, 30,932.79 and 12,857.00

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Solution

The fourth proportional to 22,415.50, 30,932.79 and 12,857.00 is: 17,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.50 : 30,932.79 = 12,857.00 : x
  2. Step 2: Convert to fraction form
    22,415.50/30,932.79 = 12,857.00/x
  3. Step 3: Cross multiply
    22,415.50x = 30,932.79 × 12,857.00
  4. Step 4: Simplify right side
    22,415.50x = 397,702,678.15
  5. Step 5: Solve for x
    x = 397,702,678.15/22,415.50
  6. Step 6: Final answer
    x = 17,742.31

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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.