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Finding the Fourth Proportional to 13,997.84, 19,310.28 and 8,698.88

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Solution

The fourth proportional to 13,997.84, 19,310.28 and 8,698.88 is: 12,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.84 : 19,310.28 = 8,698.88 : x
  2. Step 2: Convert to fraction form
    13,997.84/19,310.28 = 8,698.88/x
  3. Step 3: Cross multiply
    13,997.84x = 19,310.28 × 8,698.88
  4. Step 4: Simplify right side
    13,997.84x = 167,977,808.49
  5. Step 5: Solve for x
    x = 167,977,808.49/13,997.84
  6. Step 6: Final answer
    x = 12,000.27

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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.