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Finding the Fourth Proportional to 19,521.36, 29,285.28 and 7,828.20

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Solution

The fourth proportional to 19,521.36, 29,285.28 and 7,828.20 is: 11,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521.36 : 29,285.28 = 7,828.20 : x
  2. Step 2: Convert to fraction form
    19,521.36/29,285.28 = 7,828.20/x
  3. Step 3: Cross multiply
    19,521.36x = 29,285.28 × 7,828.20
  4. Step 4: Simplify right side
    19,521.36x = 229,251,028.90
  5. Step 5: Solve for x
    x = 229,251,028.90/19,521.36
  6. Step 6: Final answer
    x = 11,743.60

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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.