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Finding the Fourth Proportional to 17,496, 24,155.42 and 11,219.31

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Solution

The fourth proportional to 17,496, 24,155.42 and 11,219.31 is: 15,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 24,155.42 = 11,219.31 : x
  2. Step 2: Convert to fraction form
    17,496/24,155.42 = 11,219.31/x
  3. Step 3: Cross multiply
    17,496x = 24,155.42 × 11,219.31
  4. Step 4: Simplify right side
    17,496x = 271,007,089.06
  5. Step 5: Solve for x
    x = 271,007,089.06/17,496
  6. Step 6: Final answer
    x = 15,489.66

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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.