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Finding the Fourth Proportional to 23,703.88, 32,710.73 and 13,093.28

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Solution

The fourth proportional to 23,703.88, 32,710.73 and 13,093.28 is: 18,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.88 : 32,710.73 = 13,093.28 : x
  2. Step 2: Convert to fraction form
    23,703.88/32,710.73 = 13,093.28/x
  3. Step 3: Cross multiply
    23,703.88x = 32,710.73 × 13,093.28
  4. Step 4: Simplify right side
    23,703.88x = 428,290,824.54
  5. Step 5: Solve for x
    x = 428,290,824.54/23,703.88
  6. Step 6: Final answer
    x = 18,068.39

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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.