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Finding the Fourth Proportional to 23,615.84, 32,589.86 and 13,005.38

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Solution

The fourth proportional to 23,615.84, 32,589.86 and 13,005.38 is: 17,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.84 : 32,589.86 = 13,005.38 : x
  2. Step 2: Convert to fraction form
    23,615.84/32,589.86 = 13,005.38/x
  3. Step 3: Cross multiply
    23,615.84x = 32,589.86 × 13,005.38
  4. Step 4: Simplify right side
    23,615.84x = 423,843,285.47
  5. Step 5: Solve for x
    x = 423,843,285.47/23,615.84
  6. Step 6: Final answer
    x = 17,947.42

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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.