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Finding the Fourth Proportional to 12,950.37, 19,419.17 and 4,184.15

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Solution

The fourth proportional to 12,950.37, 19,419.17 and 4,184.15 is: 6,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.37 : 19,419.17 = 4,184.15 : x
  2. Step 2: Convert to fraction form
    12,950.37/19,419.17 = 4,184.15/x
  3. Step 3: Cross multiply
    12,950.37x = 19,419.17 × 4,184.15
  4. Step 4: Simplify right side
    12,950.37x = 81,252,602.14
  5. Step 5: Solve for x
    x = 81,252,602.14/12,950.37
  6. Step 6: Final answer
    x = 6,274.15

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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.