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Finding the Fourth Proportional to 16,149.63, 24,223.76 and 5,056.07

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Solution

The fourth proportional to 16,149.63, 24,223.76 and 5,056.07 is: 7,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.63 : 24,223.76 = 5,056.07 : x
  2. Step 2: Convert to fraction form
    16,149.63/24,223.76 = 5,056.07/x
  3. Step 3: Cross multiply
    16,149.63x = 24,223.76 × 5,056.07
  4. Step 4: Simplify right side
    16,149.63x = 122,477,035.04
  5. Step 5: Solve for x
    x = 122,477,035.04/16,149.63
  6. Step 6: Final answer
    x = 7,583.89

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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.