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Finding the Fourth Proportional to 13,377.84, 18,455.30 and 8,663.64

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Solution

The fourth proportional to 13,377.84, 18,455.30 and 8,663.64 is: 11,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.84 : 18,455.30 = 8,663.64 : x
  2. Step 2: Convert to fraction form
    13,377.84/18,455.30 = 8,663.64/x
  3. Step 3: Cross multiply
    13,377.84x = 18,455.30 × 8,663.64
  4. Step 4: Simplify right side
    13,377.84x = 159,890,075.29
  5. Step 5: Solve for x
    x = 159,890,075.29/13,377.84
  6. Step 6: Final answer
    x = 11,951.86

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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.