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Finding the Fourth Proportional to 25,596.81, 38,395.22 and 10,003.50

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Solution

The fourth proportional to 25,596.81, 38,395.22 and 10,003.50 is: 15,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.81 : 38,395.22 = 10,003.50 : x
  2. Step 2: Convert to fraction form
    25,596.81/38,395.22 = 10,003.50/x
  3. Step 3: Cross multiply
    25,596.81x = 38,395.22 × 10,003.50
  4. Step 4: Simplify right side
    25,596.81x = 384,086,533.25
  5. Step 5: Solve for x
    x = 384,086,533.25/25,596.81
  6. Step 6: Final answer
    x = 15,005.25

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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.