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Finding the Fourth Proportional to 19,523, 26,946.60 and 11,144.36

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Solution

The fourth proportional to 19,523, 26,946.60 and 11,144.36 is: 15,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523 : 26,946.60 = 11,144.36 : x
  2. Step 2: Convert to fraction form
    19,523/26,946.60 = 11,144.36/x
  3. Step 3: Cross multiply
    19,523x = 26,946.60 × 11,144.36
  4. Step 4: Simplify right side
    19,523x = 300,302,611.18
  5. Step 5: Solve for x
    x = 300,302,611.18/19,523
  6. Step 6: Final answer
    x = 15,381.99

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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.