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Finding the Fourth Proportional to 14,438.54, 19,919.25 and 9,724.34

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Solution

The fourth proportional to 14,438.54, 19,919.25 and 9,724.34 is: 13,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.54 : 19,919.25 = 9,724.34 : x
  2. Step 2: Convert to fraction form
    14,438.54/19,919.25 = 9,724.34/x
  3. Step 3: Cross multiply
    14,438.54x = 19,919.25 × 9,724.34
  4. Step 4: Simplify right side
    14,438.54x = 193,701,559.55
  5. Step 5: Solve for x
    x = 193,701,559.55/14,438.54
  6. Step 6: Final answer
    x = 13,415.59

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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.