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Finding the Fourth Proportional to 15,137.37, 22,714.20 and 7,346.16

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Solution

The fourth proportional to 15,137.37, 22,714.20 and 7,346.16 is: 11,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.37 : 22,714.20 = 7,346.16 : x
  2. Step 2: Convert to fraction form
    15,137.37/22,714.20 = 7,346.16/x
  3. Step 3: Cross multiply
    15,137.37x = 22,714.20 × 7,346.16
  4. Step 4: Simplify right side
    15,137.37x = 166,862,147.47
  5. Step 5: Solve for x
    x = 166,862,147.47/15,137.37
  6. Step 6: Final answer
    x = 11,023.19

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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.