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Finding the Fourth Proportional to 13,787.84, 19,021.70 and 8,113.59

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Solution

The fourth proportional to 13,787.84, 19,021.70 and 8,113.59 is: 11,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.84 : 19,021.70 = 8,113.59 : x
  2. Step 2: Convert to fraction form
    13,787.84/19,021.70 = 8,113.59/x
  3. Step 3: Cross multiply
    13,787.84x = 19,021.70 × 8,113.59
  4. Step 4: Simplify right side
    13,787.84x = 154,334,274.90
  5. Step 5: Solve for x
    x = 154,334,274.90/13,787.84
  6. Step 6: Final answer
    x = 11,193.51

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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.