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Finding the Fourth Proportional to 25,224, 37,835.99 and 7,693.67

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Solution

The fourth proportional to 25,224, 37,835.99 and 7,693.67 is: 11,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 37,835.99 = 7,693.67 : x
  2. Step 2: Convert to fraction form
    25,224/37,835.99 = 7,693.67/x
  3. Step 3: Cross multiply
    25,224x = 37,835.99 × 7,693.67
  4. Step 4: Simplify right side
    25,224x = 291,097,621.18
  5. Step 5: Solve for x
    x = 291,097,621.18/25,224
  6. Step 6: Final answer
    x = 11,540.50

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Why These Related Problems?

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