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Finding the Fourth Proportional to 15,714.60, 23,573.43 and 5,180.37

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Solution

The fourth proportional to 15,714.60, 23,573.43 and 5,180.37 is: 7,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.60 : 23,573.43 = 5,180.37 : x
  2. Step 2: Convert to fraction form
    15,714.60/23,573.43 = 5,180.37/x
  3. Step 3: Cross multiply
    15,714.60x = 23,573.43 × 5,180.37
  4. Step 4: Simplify right side
    15,714.60x = 122,119,089.57
  5. Step 5: Solve for x
    x = 122,119,089.57/15,714.60
  6. Step 6: Final answer
    x = 7,771.06

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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.