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Finding the Fourth Proportional to 13,111, 19,676.60 and 9,787.56

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Solution

The fourth proportional to 13,111, 19,676.60 and 9,787.56 is: 14,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111 : 19,676.60 = 9,787.56 : x
  2. Step 2: Convert to fraction form
    13,111/19,676.60 = 9,787.56/x
  3. Step 3: Cross multiply
    13,111x = 19,676.60 × 9,787.56
  4. Step 4: Simplify right side
    13,111x = 192,585,903.10
  5. Step 5: Solve for x
    x = 192,585,903.10/13,111
  6. Step 6: Final answer
    x = 14,688.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.