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Finding the Fourth Proportional to 15,477.64, 23,099.50 and 13,982.96

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Solution

The fourth proportional to 15,477.64, 23,099.50 and 13,982.96 is: 20,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.64 : 23,099.50 = 13,982.96 : x
  2. Step 2: Convert to fraction form
    15,477.64/23,099.50 = 13,982.96/x
  3. Step 3: Cross multiply
    15,477.64x = 23,099.50 × 13,982.96
  4. Step 4: Simplify right side
    15,477.64x = 322,999,450.35
  5. Step 5: Solve for x
    x = 322,999,450.35/15,477.64
  6. Step 6: Final answer
    x = 20,868.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.