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Finding the Fourth Proportional to 13,226.96, 19,840.44 and 10,307.45

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Solution

The fourth proportional to 13,226.96, 19,840.44 and 10,307.45 is: 15,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.96 : 19,840.44 = 10,307.45 : x
  2. Step 2: Convert to fraction form
    13,226.96/19,840.44 = 10,307.45/x
  3. Step 3: Cross multiply
    13,226.96x = 19,840.44 × 10,307.45
  4. Step 4: Simplify right side
    13,226.96x = 204,504,431.53
  5. Step 5: Solve for x
    x = 204,504,431.53/13,226.96
  6. Step 6: Final answer
    x = 15,461.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.