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Finding the Fourth Proportional to 13,309.53, 19,913.52 and 8,025.09

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Solution

The fourth proportional to 13,309.53, 19,913.52 and 8,025.09 is: 12,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.53 : 19,913.52 = 8,025.09 : x
  2. Step 2: Convert to fraction form
    13,309.53/19,913.52 = 8,025.09/x
  3. Step 3: Cross multiply
    13,309.53x = 19,913.52 × 8,025.09
  4. Step 4: Simplify right side
    13,309.53x = 159,807,790.22
  5. Step 5: Solve for x
    x = 159,807,790.22/13,309.53
  6. Step 6: Final answer
    x = 12,007.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.