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Finding the Fourth Proportional to 12,974.66, 19,461.98 and 4,209.57

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Solution

The fourth proportional to 12,974.66, 19,461.98 and 4,209.57 is: 6,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.66 : 19,461.98 = 4,209.57 : x
  2. Step 2: Convert to fraction form
    12,974.66/19,461.98 = 4,209.57/x
  3. Step 3: Cross multiply
    12,974.66x = 19,461.98 × 4,209.57
  4. Step 4: Simplify right side
    12,974.66x = 81,926,567.15
  5. Step 5: Solve for x
    x = 81,926,567.15/12,974.66
  6. Step 6: Final answer
    x = 6,314.35

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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.