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Finding the Fourth Proportional to 19,610.96, 29,399.90 and 8,509.30

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Solution

The fourth proportional to 19,610.96, 29,399.90 and 8,509.30 is: 12,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610.96 : 29,399.90 = 8,509.30 : x
  2. Step 2: Convert to fraction form
    19,610.96/29,399.90 = 8,509.30/x
  3. Step 3: Cross multiply
    19,610.96x = 29,399.90 × 8,509.30
  4. Step 4: Simplify right side
    19,610.96x = 250,172,569.07
  5. Step 5: Solve for x
    x = 250,172,569.07/19,610.96
  6. Step 6: Final answer
    x = 12,756.77

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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.