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Finding the Fourth Proportional to 17,057.68, 23,539.22 and 9,503.98

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Solution

The fourth proportional to 17,057.68, 23,539.22 and 9,503.98 is: 13,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.68 : 23,539.22 = 9,503.98 : x
  2. Step 2: Convert to fraction form
    17,057.68/23,539.22 = 9,503.98/x
  3. Step 3: Cross multiply
    17,057.68x = 23,539.22 × 9,503.98
  4. Step 4: Simplify right side
    17,057.68x = 223,716,276.10
  5. Step 5: Solve for x
    x = 223,716,276.10/17,057.68
  6. Step 6: Final answer
    x = 13,115.28

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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.