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Finding the Fourth Proportional to 13,878.71, 19,153.31 and 8,216.70

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Solution

The fourth proportional to 13,878.71, 19,153.31 and 8,216.70 is: 11,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.71 : 19,153.31 = 8,216.70 : x
  2. Step 2: Convert to fraction form
    13,878.71/19,153.31 = 8,216.70/x
  3. Step 3: Cross multiply
    13,878.71x = 19,153.31 × 8,216.70
  4. Step 4: Simplify right side
    13,878.71x = 157,377,002.28
  5. Step 5: Solve for x
    x = 157,377,002.28/13,878.71
  6. Step 6: Final answer
    x = 11,339.45

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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.