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Finding the Fourth Proportional to 24,447.36, 33,735.60 and 13,838.16

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Solution

The fourth proportional to 24,447.36, 33,735.60 and 13,838.16 is: 19,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.36 : 33,735.60 = 13,838.16 : x
  2. Step 2: Convert to fraction form
    24,447.36/33,735.60 = 13,838.16/x
  3. Step 3: Cross multiply
    24,447.36x = 33,735.60 × 13,838.16
  4. Step 4: Simplify right side
    24,447.36x = 466,838,630.50
  5. Step 5: Solve for x
    x = 466,838,630.50/24,447.36
  6. Step 6: Final answer
    x = 19,095.67

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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.