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Finding the Fourth Proportional to 10,676.61, 14,701.46 and 9,675.59

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Solution

The fourth proportional to 10,676.61, 14,701.46 and 9,675.59 is: 13,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.61 : 14,701.46 = 9,675.59 : x
  2. Step 2: Convert to fraction form
    10,676.61/14,701.46 = 9,675.59/x
  3. Step 3: Cross multiply
    10,676.61x = 14,701.46 × 9,675.59
  4. Step 4: Simplify right side
    10,676.61x = 142,245,177.48
  5. Step 5: Solve for x
    x = 142,245,177.48/10,676.61
  6. Step 6: Final answer
    x = 13,323.07

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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.