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Finding the Fourth Proportional to 16,507.38, 24,760.83 and 4,027.50

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Solution

The fourth proportional to 16,507.38, 24,760.83 and 4,027.50 is: 6,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.38 : 24,760.83 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    16,507.38/24,760.83 = 4,027.50/x
  3. Step 3: Cross multiply
    16,507.38x = 24,760.83 × 4,027.50
  4. Step 4: Simplify right side
    16,507.38x = 99,724,242.83
  5. Step 5: Solve for x
    x = 99,724,242.83/16,507.38
  6. Step 6: Final answer
    x = 6,041.19

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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.