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Finding the Fourth Proportional to 12,950.57, 19,419.16 and 4,184.34

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Solution

The fourth proportional to 12,950.57, 19,419.16 and 4,184.34 is: 6,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.57 : 19,419.16 = 4,184.34 : x
  2. Step 2: Convert to fraction form
    12,950.57/19,419.16 = 4,184.34/x
  3. Step 3: Cross multiply
    12,950.57x = 19,419.16 × 4,184.34
  4. Step 4: Simplify right side
    12,950.57x = 81,256,367.95
  5. Step 5: Solve for x
    x = 81,256,367.95/12,950.57
  6. Step 6: Final answer
    x = 6,274.35

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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.