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Finding the Fourth Proportional to 25,477.65, 38,216.48 and 7,947.50

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Solution

The fourth proportional to 25,477.65, 38,216.48 and 7,947.50 is: 11,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.65 : 38,216.48 = 7,947.50 : x
  2. Step 2: Convert to fraction form
    25,477.65/38,216.48 = 7,947.50/x
  3. Step 3: Cross multiply
    25,477.65x = 38,216.48 × 7,947.50
  4. Step 4: Simplify right side
    25,477.65x = 303,725,243.98
  5. Step 5: Solve for x
    x = 303,725,243.98/25,477.65
  6. Step 6: Final answer
    x = 11,921.24

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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.