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Finding the Fourth Proportional to 13,919.12, 19,209 and 8,330

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Solution

The fourth proportional to 13,919.12, 19,209 and 8,330 is: 11,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.12 : 19,209 = 8,330 : x
  2. Step 2: Convert to fraction form
    13,919.12/19,209 = 8,330/x
  3. Step 3: Cross multiply
    13,919.12x = 19,209 × 8,330
  4. Step 4: Simplify right side
    13,919.12x = 160,010,970
  5. Step 5: Solve for x
    x = 160,010,970/13,919.12
  6. Step 6: Final answer
    x = 11,495.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.