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Finding the Fourth Proportional to 17,823.40, 26,735.10 and 12,293.80

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Solution

The fourth proportional to 17,823.40, 26,735.10 and 12,293.80 is: 18,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.40 : 26,735.10 = 12,293.80 : x
  2. Step 2: Convert to fraction form
    17,823.40/26,735.10 = 12,293.80/x
  3. Step 3: Cross multiply
    17,823.40x = 26,735.10 × 12,293.80
  4. Step 4: Simplify right side
    17,823.40x = 328,675,972.38
  5. Step 5: Solve for x
    x = 328,675,972.38/17,823.40
  6. Step 6: Final answer
    x = 18,440.70

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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.