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Finding the Fourth Proportional to 29,569.08, 44,353.24 and 8,509.60

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Solution

The fourth proportional to 29,569.08, 44,353.24 and 8,509.60 is: 12,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569.08 : 44,353.24 = 8,509.60 : x
  2. Step 2: Convert to fraction form
    29,569.08/44,353.24 = 8,509.60/x
  3. Step 3: Cross multiply
    29,569.08x = 44,353.24 × 8,509.60
  4. Step 4: Simplify right side
    29,569.08x = 377,428,331.10
  5. Step 5: Solve for x
    x = 377,428,331.10/29,569.08
  6. Step 6: Final answer
    x = 12,764.29

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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.