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Finding the Fourth Proportional to 23,221.62, 32,045.79 and 13,790.16

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Solution

The fourth proportional to 23,221.62, 32,045.79 and 13,790.16 is: 19,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.62 : 32,045.79 = 13,790.16 : x
  2. Step 2: Convert to fraction form
    23,221.62/32,045.79 = 13,790.16/x
  3. Step 3: Cross multiply
    23,221.62x = 32,045.79 × 13,790.16
  4. Step 4: Simplify right side
    23,221.62x = 441,916,571.43
  5. Step 5: Solve for x
    x = 441,916,571.43/23,221.62
  6. Step 6: Final answer
    x = 19,030.39

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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.