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Finding the Fourth Proportional to 16,538.34, 24,800.34 and 6,004.86

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Solution

The fourth proportional to 16,538.34, 24,800.34 and 6,004.86 is: 9,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.34 : 24,800.34 = 6,004.86 : x
  2. Step 2: Convert to fraction form
    16,538.34/24,800.34 = 6,004.86/x
  3. Step 3: Cross multiply
    16,538.34x = 24,800.34 × 6,004.86
  4. Step 4: Simplify right side
    16,538.34x = 148,922,569.65
  5. Step 5: Solve for x
    x = 148,922,569.65/16,538.34
  6. Step 6: Final answer
    x = 9,004.69

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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.