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Finding the Fourth Proportional to 16,133.57, 24,199.49 and 5,038.98

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Solution

The fourth proportional to 16,133.57, 24,199.49 and 5,038.98 is: 7,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.57 : 24,199.49 = 5,038.98 : x
  2. Step 2: Convert to fraction form
    16,133.57/24,199.49 = 5,038.98/x
  3. Step 3: Cross multiply
    16,133.57x = 24,199.49 × 5,038.98
  4. Step 4: Simplify right side
    16,133.57x = 121,940,720.93
  5. Step 5: Solve for x
    x = 121,940,720.93/16,133.57
  6. Step 6: Final answer
    x = 7,558.20

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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.