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Finding the Fourth Proportional to 12,595.86, 18,894.72 and 5,198.34

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Solution

The fourth proportional to 12,595.86, 18,894.72 and 5,198.34 is: 7,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.86 : 18,894.72 = 5,198.34 : x
  2. Step 2: Convert to fraction form
    12,595.86/18,894.72 = 5,198.34/x
  3. Step 3: Cross multiply
    12,595.86x = 18,894.72 × 5,198.34
  4. Step 4: Simplify right side
    12,595.86x = 98,221,178.76
  5. Step 5: Solve for x
    x = 98,221,178.76/12,595.86
  6. Step 6: Final answer
    x = 7,797.89

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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.