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Finding the Fourth Proportional to 11,779.76, 17,676.20 and 10,056.24

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Solution

The fourth proportional to 11,779.76, 17,676.20 and 10,056.24 is: 15,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.76 : 17,676.20 = 10,056.24 : x
  2. Step 2: Convert to fraction form
    11,779.76/17,676.20 = 10,056.24/x
  3. Step 3: Cross multiply
    11,779.76x = 17,676.20 × 10,056.24
  4. Step 4: Simplify right side
    11,779.76x = 177,756,109.49
  5. Step 5: Solve for x
    x = 177,756,109.49/11,779.76
  6. Step 6: Final answer
    x = 15,089.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.