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Finding the Fourth Proportional to 13,878.16, 19,151.94 and 8,212.84

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Solution

The fourth proportional to 13,878.16, 19,151.94 and 8,212.84 is: 11,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.16 : 19,151.94 = 8,212.84 : x
  2. Step 2: Convert to fraction form
    13,878.16/19,151.94 = 8,212.84/x
  3. Step 3: Cross multiply
    13,878.16x = 19,151.94 × 8,212.84
  4. Step 4: Simplify right side
    13,878.16x = 157,291,818.91
  5. Step 5: Solve for x
    x = 157,291,818.91/13,878.16
  6. Step 6: Final answer
    x = 11,333.77

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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.