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Finding the Fourth Proportional to 17,693.84, 24,416.98 and 9,736.07

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Solution

The fourth proportional to 17,693.84, 24,416.98 and 9,736.07 is: 13,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.84 : 24,416.98 = 9,736.07 : x
  2. Step 2: Convert to fraction form
    17,693.84/24,416.98 = 9,736.07/x
  3. Step 3: Cross multiply
    17,693.84x = 24,416.98 × 9,736.07
  4. Step 4: Simplify right side
    17,693.84x = 237,725,280.04
  5. Step 5: Solve for x
    x = 237,725,280.04/17,693.84
  6. Step 6: Final answer
    x = 13,435.48

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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.