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Finding the Fourth Proportional to 12,829.77, 19,245.74 and 4,509.06

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Solution

The fourth proportional to 12,829.77, 19,245.74 and 4,509.06 is: 6,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.77 : 19,245.74 = 4,509.06 : x
  2. Step 2: Convert to fraction form
    12,829.77/19,245.74 = 4,509.06/x
  3. Step 3: Cross multiply
    12,829.77x = 19,245.74 × 4,509.06
  4. Step 4: Simplify right side
    12,829.77x = 86,780,173.86
  5. Step 5: Solve for x
    x = 86,780,173.86/12,829.77
  6. Step 6: Final answer
    x = 6,763.97

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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.