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Finding the Fourth Proportional to 15,897.46, 23,846.64 and 7,578.34

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Solution

The fourth proportional to 15,897.46, 23,846.64 and 7,578.34 is: 11,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.46 : 23,846.64 = 7,578.34 : x
  2. Step 2: Convert to fraction form
    15,897.46/23,846.64 = 7,578.34/x
  3. Step 3: Cross multiply
    15,897.46x = 23,846.64 × 7,578.34
  4. Step 4: Simplify right side
    15,897.46x = 180,717,945.78
  5. Step 5: Solve for x
    x = 180,717,945.78/15,897.46
  6. Step 6: Final answer
    x = 11,367.72

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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.