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Finding the Fourth Proportional to 24,478.25, 33,768.58 and 14,400.28

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Solution

The fourth proportional to 24,478.25, 33,768.58 and 14,400.28 is: 19,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.25 : 33,768.58 = 14,400.28 : x
  2. Step 2: Convert to fraction form
    24,478.25/33,768.58 = 14,400.28/x
  3. Step 3: Cross multiply
    24,478.25x = 33,768.58 × 14,400.28
  4. Step 4: Simplify right side
    24,478.25x = 486,276,766.36
  5. Step 5: Solve for x
    x = 486,276,766.36/24,478.25
  6. Step 6: Final answer
    x = 19,865.67

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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.