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Finding the Fourth Proportional to 15,652.23, 23,479.15 and 7,644.57

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Solution

The fourth proportional to 15,652.23, 23,479.15 and 7,644.57 is: 11,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.23 : 23,479.15 = 7,644.57 : x
  2. Step 2: Convert to fraction form
    15,652.23/23,479.15 = 7,644.57/x
  3. Step 3: Cross multiply
    15,652.23x = 23,479.15 × 7,644.57
  4. Step 4: Simplify right side
    15,652.23x = 179,488,005.72
  5. Step 5: Solve for x
    x = 179,488,005.72/15,652.23
  6. Step 6: Final answer
    x = 11,467.25

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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.