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Finding the Fourth Proportional to 13,851.84, 19,116.88 and 8,188.40

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Solution

The fourth proportional to 13,851.84, 19,116.88 and 8,188.40 is: 11,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.84 : 19,116.88 = 8,188.40 : x
  2. Step 2: Convert to fraction form
    13,851.84/19,116.88 = 8,188.40/x
  3. Step 3: Cross multiply
    13,851.84x = 19,116.88 × 8,188.40
  4. Step 4: Simplify right side
    13,851.84x = 156,536,660.19
  5. Step 5: Solve for x
    x = 156,536,660.19/13,851.84
  6. Step 6: Final answer
    x = 11,300.78

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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.