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Finding the Fourth Proportional to 23,651.83, 32,627.10 and 14,088.97

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Solution

The fourth proportional to 23,651.83, 32,627.10 and 14,088.97 is: 19,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.83 : 32,627.10 = 14,088.97 : x
  2. Step 2: Convert to fraction form
    23,651.83/32,627.10 = 14,088.97/x
  3. Step 3: Cross multiply
    23,651.83x = 32,627.10 × 14,088.97
  4. Step 4: Simplify right side
    23,651.83x = 459,682,233.09
  5. Step 5: Solve for x
    x = 459,682,233.09/23,651.83
  6. Step 6: Final answer
    x = 19,435.38

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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.