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Finding the Fourth Proportional to 10,676.84, 14,748.98 and 10,116.36

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Solution

The fourth proportional to 10,676.84, 14,748.98 and 10,116.36 is: 13,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.84 : 14,748.98 = 10,116.36 : x
  2. Step 2: Convert to fraction form
    10,676.84/14,748.98 = 10,116.36/x
  3. Step 3: Cross multiply
    10,676.84x = 14,748.98 × 10,116.36
  4. Step 4: Simplify right side
    10,676.84x = 149,205,991.31
  5. Step 5: Solve for x
    x = 149,205,991.31/10,676.84
  6. Step 6: Final answer
    x = 13,974.73

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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.