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Finding the Fourth Proportional to 12,959.95, 19,441.53 and 4,640.86

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Solution

The fourth proportional to 12,959.95, 19,441.53 and 4,640.86 is: 6,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.95 : 19,441.53 = 4,640.86 : x
  2. Step 2: Convert to fraction form
    12,959.95/19,441.53 = 4,640.86/x
  3. Step 3: Cross multiply
    12,959.95x = 19,441.53 × 4,640.86
  4. Step 4: Simplify right side
    12,959.95x = 90,225,418.92
  5. Step 5: Solve for x
    x = 90,225,418.92/12,959.95
  6. Step 6: Final answer
    x = 6,961.86

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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.