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Finding the Fourth Proportional to 15,676.72, 23,498.64 and 7,349.76

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Solution

The fourth proportional to 15,676.72, 23,498.64 and 7,349.76 is: 11,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.72 : 23,498.64 = 7,349.76 : x
  2. Step 2: Convert to fraction form
    15,676.72/23,498.64 = 7,349.76/x
  3. Step 3: Cross multiply
    15,676.72x = 23,498.64 × 7,349.76
  4. Step 4: Simplify right side
    15,676.72x = 172,709,364.33
  5. Step 5: Solve for x
    x = 172,709,364.33/15,676.72
  6. Step 6: Final answer
    x = 11,016.93

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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.