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Finding the Fourth Proportional to 12,974, 19,461.72 and 3,740.72

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Solution

The fourth proportional to 12,974, 19,461.72 and 3,740.72 is: 5,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974 : 19,461.72 = 3,740.72 : x
  2. Step 2: Convert to fraction form
    12,974/19,461.72 = 3,740.72/x
  3. Step 3: Cross multiply
    12,974x = 19,461.72 × 3,740.72
  4. Step 4: Simplify right side
    12,974x = 72,800,845.24
  5. Step 5: Solve for x
    x = 72,800,845.24/12,974
  6. Step 6: Final answer
    x = 5,611.29

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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.