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Finding the Fourth Proportional to 17,657.16, 24,388.43 and 13,200.69

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Solution

The fourth proportional to 17,657.16, 24,388.43 and 13,200.69 is: 18,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.16 : 24,388.43 = 13,200.69 : x
  2. Step 2: Convert to fraction form
    17,657.16/24,388.43 = 13,200.69/x
  3. Step 3: Cross multiply
    17,657.16x = 24,388.43 × 13,200.69
  4. Step 4: Simplify right side
    17,657.16x = 321,944,038.01
  5. Step 5: Solve for x
    x = 321,944,038.01/17,657.16
  6. Step 6: Final answer
    x = 18,233.06

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