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Finding the Fourth Proportional to 13,226.86, 19,830.57 and 6,306.22

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Solution

The fourth proportional to 13,226.86, 19,830.57 and 6,306.22 is: 9,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.86 : 19,830.57 = 6,306.22 : x
  2. Step 2: Convert to fraction form
    13,226.86/19,830.57 = 6,306.22/x
  3. Step 3: Cross multiply
    13,226.86x = 19,830.57 × 6,306.22
  4. Step 4: Simplify right side
    13,226.86x = 125,055,937.15
  5. Step 5: Solve for x
    x = 125,055,937.15/13,226.86
  6. Step 6: Final answer
    x = 9,454.70

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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.