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Finding the Fourth Proportional to 13,279.83, 19,923 and 4,045.83

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Solution

The fourth proportional to 13,279.83, 19,923 and 4,045.83 is: 6,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,279.83 : 19,923 = 4,045.83 : x
  2. Step 2: Convert to fraction form
    13,279.83/19,923 = 4,045.83/x
  3. Step 3: Cross multiply
    13,279.83x = 19,923 × 4,045.83
  4. Step 4: Simplify right side
    13,279.83x = 80,605,071.09
  5. Step 5: Solve for x
    x = 80,605,071.09/13,279.83
  6. Step 6: Final answer
    x = 6,069.74

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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.