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Finding the Fourth Proportional to 17,775.81, 24,525.07 and 10,219.41

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Solution

The fourth proportional to 17,775.81, 24,525.07 and 10,219.41 is: 14,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.81 : 24,525.07 = 10,219.41 : x
  2. Step 2: Convert to fraction form
    17,775.81/24,525.07 = 10,219.41/x
  3. Step 3: Cross multiply
    17,775.81x = 24,525.07 × 10,219.41
  4. Step 4: Simplify right side
    17,775.81x = 250,631,720.06
  5. Step 5: Solve for x
    x = 250,631,720.06/17,775.81
  6. Step 6: Final answer
    x = 14,099.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.