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Finding the Fourth Proportional to 12,894.67, 19,339.86 and 4,128.45

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Solution

The fourth proportional to 12,894.67, 19,339.86 and 4,128.45 is: 6,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.67 : 19,339.86 = 4,128.45 : x
  2. Step 2: Convert to fraction form
    12,894.67/19,339.86 = 4,128.45/x
  3. Step 3: Cross multiply
    12,894.67x = 19,339.86 × 4,128.45
  4. Step 4: Simplify right side
    12,894.67x = 79,843,645.02
  5. Step 5: Solve for x
    x = 79,843,645.02/12,894.67
  6. Step 6: Final answer
    x = 6,191.99

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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.