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Finding the Fourth Proportional to 16,201.26, 24,303.95 and 6,339.28

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Solution

The fourth proportional to 16,201.26, 24,303.95 and 6,339.28 is: 9,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.26 : 24,303.95 = 6,339.28 : x
  2. Step 2: Convert to fraction form
    16,201.26/24,303.95 = 6,339.28/x
  3. Step 3: Cross multiply
    16,201.26x = 24,303.95 × 6,339.28
  4. Step 4: Simplify right side
    16,201.26x = 154,069,544.16
  5. Step 5: Solve for x
    x = 154,069,544.16/16,201.26
  6. Step 6: Final answer
    x = 9,509.73

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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.