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Finding the Fourth Proportional to 17,922.84, 26,890 and 7,397.80

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Solution

The fourth proportional to 17,922.84, 26,890 and 7,397.80 is: 11,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.84 : 26,890 = 7,397.80 : x
  2. Step 2: Convert to fraction form
    17,922.84/26,890 = 7,397.80/x
  3. Step 3: Cross multiply
    17,922.84x = 26,890 × 7,397.80
  4. Step 4: Simplify right side
    17,922.84x = 198,926,842
  5. Step 5: Solve for x
    x = 198,926,842/17,922.84
  6. Step 6: Final answer
    x = 11,099.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.