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Finding the Fourth Proportional to 15,384.13, 22,991.89 and 11,232.88

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Solution

The fourth proportional to 15,384.13, 22,991.89 and 11,232.88 is: 16,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.13 : 22,991.89 = 11,232.88 : x
  2. Step 2: Convert to fraction form
    15,384.13/22,991.89 = 11,232.88/x
  3. Step 3: Cross multiply
    15,384.13x = 22,991.89 × 11,232.88
  4. Step 4: Simplify right side
    15,384.13x = 258,265,141.34
  5. Step 5: Solve for x
    x = 258,265,141.34/15,384.13
  6. Step 6: Final answer
    x = 16,787.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.