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Finding the Fourth Proportional to 13,238.76, 19,852.94 and 4,803.25

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Solution

The fourth proportional to 13,238.76, 19,852.94 and 4,803.25 is: 7,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.76 : 19,852.94 = 4,803.25 : x
  2. Step 2: Convert to fraction form
    13,238.76/19,852.94 = 4,803.25/x
  3. Step 3: Cross multiply
    13,238.76x = 19,852.94 × 4,803.25
  4. Step 4: Simplify right side
    13,238.76x = 95,358,634.06
  5. Step 5: Solve for x
    x = 95,358,634.06/13,238.76
  6. Step 6: Final answer
    x = 7,202.99

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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.