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Finding the Fourth Proportional to 17,773.68, 24,532.43 and 10,220.84

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Solution

The fourth proportional to 17,773.68, 24,532.43 and 10,220.84 is: 14,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.68 : 24,532.43 = 10,220.84 : x
  2. Step 2: Convert to fraction form
    17,773.68/24,532.43 = 10,220.84/x
  3. Step 3: Cross multiply
    17,773.68x = 24,532.43 × 10,220.84
  4. Step 4: Simplify right side
    17,773.68x = 250,742,041.84
  5. Step 5: Solve for x
    x = 250,742,041.84/17,773.68
  6. Step 6: Final answer
    x = 14,107.49

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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.