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Finding the Fourth Proportional to 19,470, 26,868.60 and 10,638

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Solution

The fourth proportional to 19,470, 26,868.60 and 10,638 is: 14,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 26,868.60 = 10,638 : x
  2. Step 2: Convert to fraction form
    19,470/26,868.60 = 10,638/x
  3. Step 3: Cross multiply
    19,470x = 26,868.60 × 10,638
  4. Step 4: Simplify right side
    19,470x = 285,828,166.80
  5. Step 5: Solve for x
    x = 285,828,166.80/19,470
  6. Step 6: Final answer
    x = 14,680.44

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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.