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Finding the Fourth Proportional to 13,879.81, 19,152.61 and 8,214.74

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Solution

The fourth proportional to 13,879.81, 19,152.61 and 8,214.74 is: 11,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.81 : 19,152.61 = 8,214.74 : x
  2. Step 2: Convert to fraction form
    13,879.81/19,152.61 = 8,214.74/x
  3. Step 3: Cross multiply
    13,879.81x = 19,152.61 × 8,214.74
  4. Step 4: Simplify right side
    13,879.81x = 157,333,711.47
  5. Step 5: Solve for x
    x = 157,333,711.47/13,879.81
  6. Step 6: Final answer
    x = 11,335.44

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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.