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Finding the Fourth Proportional to 22,474.40, 31,014.64 and 12,402.84

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Solution

The fourth proportional to 22,474.40, 31,014.64 and 12,402.84 is: 17,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.40 : 31,014.64 = 12,402.84 : x
  2. Step 2: Convert to fraction form
    22,474.40/31,014.64 = 12,402.84/x
  3. Step 3: Cross multiply
    22,474.40x = 31,014.64 × 12,402.84
  4. Step 4: Simplify right side
    22,474.40x = 384,669,586.57
  5. Step 5: Solve for x
    x = 384,669,586.57/22,474.40
  6. Step 6: Final answer
    x = 17,115.90

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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.