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Finding the Fourth Proportional to 22,822.95, 31,485.94 and 14,319.30

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Solution

The fourth proportional to 22,822.95, 31,485.94 and 14,319.30 is: 19,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.95 : 31,485.94 = 14,319.30 : x
  2. Step 2: Convert to fraction form
    22,822.95/31,485.94 = 14,319.30/x
  3. Step 3: Cross multiply
    22,822.95x = 31,485.94 × 14,319.30
  4. Step 4: Simplify right side
    22,822.95x = 450,856,620.64
  5. Step 5: Solve for x
    x = 450,856,620.64/22,822.95
  6. Step 6: Final answer
    x = 19,754.53

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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.