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Finding the Fourth Proportional to 12,970.94, 19,454.78 and 3,611.66

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Solution

The fourth proportional to 12,970.94, 19,454.78 and 3,611.66 is: 5,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.94 : 19,454.78 = 3,611.66 : x
  2. Step 2: Convert to fraction form
    12,970.94/19,454.78 = 3,611.66/x
  3. Step 3: Cross multiply
    12,970.94x = 19,454.78 × 3,611.66
  4. Step 4: Simplify right side
    12,970.94x = 70,264,050.73
  5. Step 5: Solve for x
    x = 70,264,050.73/12,970.94
  6. Step 6: Final answer
    x = 5,417.04

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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.