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Finding the Fourth Proportional to 17,810.96, 24,580.94 and 10,257.68

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Solution

The fourth proportional to 17,810.96, 24,580.94 and 10,257.68 is: 14,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.96 : 24,580.94 = 10,257.68 : x
  2. Step 2: Convert to fraction form
    17,810.96/24,580.94 = 10,257.68/x
  3. Step 3: Cross multiply
    17,810.96x = 24,580.94 × 10,257.68
  4. Step 4: Simplify right side
    17,810.96x = 252,143,416.62
  5. Step 5: Solve for x
    x = 252,143,416.62/17,810.96
  6. Step 6: Final answer
    x = 14,156.64

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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.