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Finding the Fourth Proportional to 13,830.20, 20,696.70 and 9,456.20

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Solution

The fourth proportional to 13,830.20, 20,696.70 and 9,456.20 is: 14,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.20 : 20,696.70 = 9,456.20 : x
  2. Step 2: Convert to fraction form
    13,830.20/20,696.70 = 9,456.20/x
  3. Step 3: Cross multiply
    13,830.20x = 20,696.70 × 9,456.20
  4. Step 4: Simplify right side
    13,830.20x = 195,712,134.54
  5. Step 5: Solve for x
    x = 195,712,134.54/13,830.20
  6. Step 6: Final answer
    x = 14,151.07

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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.