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Finding the Fourth Proportional to 16,018.14, 24,023.34 and 7,128.66

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Solution

The fourth proportional to 16,018.14, 24,023.34 and 7,128.66 is: 10,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.14 : 24,023.34 = 7,128.66 : x
  2. Step 2: Convert to fraction form
    16,018.14/24,023.34 = 7,128.66/x
  3. Step 3: Cross multiply
    16,018.14x = 24,023.34 × 7,128.66
  4. Step 4: Simplify right side
    16,018.14x = 171,254,222.92
  5. Step 5: Solve for x
    x = 171,254,222.92/16,018.14
  6. Step 6: Final answer
    x = 10,691.27

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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.