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Finding the Fourth Proportional to 12,800.44, 19,197.42 and 4,030.84

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Solution

The fourth proportional to 12,800.44, 19,197.42 and 4,030.84 is: 6,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.44 : 19,197.42 = 4,030.84 : x
  2. Step 2: Convert to fraction form
    12,800.44/19,197.42 = 4,030.84/x
  3. Step 3: Cross multiply
    12,800.44x = 19,197.42 × 4,030.84
  4. Step 4: Simplify right side
    12,800.44x = 77,381,728.43
  5. Step 5: Solve for x
    x = 77,381,728.43/12,800.44
  6. Step 6: Final answer
    x = 6,045.24

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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.