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Finding the Fourth Proportional to 25,936, 35,798.16 and 14,764.48

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Solution

The fourth proportional to 25,936, 35,798.16 and 14,764.48 is: 20,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,936 : 35,798.16 = 14,764.48 : x
  2. Step 2: Convert to fraction form
    25,936/35,798.16 = 14,764.48/x
  3. Step 3: Cross multiply
    25,936x = 35,798.16 × 14,764.48
  4. Step 4: Simplify right side
    25,936x = 528,541,217.36
  5. Step 5: Solve for x
    x = 528,541,217.36/25,936
  6. Step 6: Final answer
    x = 20,378.67

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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.