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Finding the Fourth Proportional to 16,024.70, 24,023.13 and 7,700.54

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Solution

The fourth proportional to 16,024.70, 24,023.13 and 7,700.54 is: 11,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.70 : 24,023.13 = 7,700.54 : x
  2. Step 2: Convert to fraction form
    16,024.70/24,023.13 = 7,700.54/x
  3. Step 3: Cross multiply
    16,024.70x = 24,023.13 × 7,700.54
  4. Step 4: Simplify right side
    16,024.70x = 184,991,073.49
  5. Step 5: Solve for x
    x = 184,991,073.49/16,024.70
  6. Step 6: Final answer
    x = 11,544.12

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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.