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Finding the Fourth Proportional to 16,755.60, 23,114.74 and 10,038

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Solution

The fourth proportional to 16,755.60, 23,114.74 and 10,038 is: 13,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755.60 : 23,114.74 = 10,038 : x
  2. Step 2: Convert to fraction form
    16,755.60/23,114.74 = 10,038/x
  3. Step 3: Cross multiply
    16,755.60x = 23,114.74 × 10,038
  4. Step 4: Simplify right side
    16,755.60x = 232,025,760.12
  5. Step 5: Solve for x
    x = 232,025,760.12/16,755.60
  6. Step 6: Final answer
    x = 13,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.