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Finding the Fourth Proportional to 19,783.24, 29,689.89 and 7,315.06

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Solution

The fourth proportional to 19,783.24, 29,689.89 and 7,315.06 is: 10,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.24 : 29,689.89 = 7,315.06 : x
  2. Step 2: Convert to fraction form
    19,783.24/29,689.89 = 7,315.06/x
  3. Step 3: Cross multiply
    19,783.24x = 29,689.89 × 7,315.06
  4. Step 4: Simplify right side
    19,783.24x = 217,183,321.90
  5. Step 5: Solve for x
    x = 217,183,321.90/19,783.24
  6. Step 6: Final answer
    x = 10,978.15

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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.