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Finding the Fourth Proportional to 12,965.27, 19,445.45 and 4,644.95

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Solution

The fourth proportional to 12,965.27, 19,445.45 and 4,644.95 is: 6,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.27 : 19,445.45 = 4,644.95 : x
  2. Step 2: Convert to fraction form
    12,965.27/19,445.45 = 4,644.95/x
  3. Step 3: Cross multiply
    12,965.27x = 19,445.45 × 4,644.95
  4. Step 4: Simplify right side
    12,965.27x = 90,323,022.53
  5. Step 5: Solve for x
    x = 90,323,022.53/12,965.27
  6. Step 6: Final answer
    x = 6,966.54

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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.