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Finding the Fourth Proportional to 23,264.88, 32,093.64 and 13,698

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Solution

The fourth proportional to 23,264.88, 32,093.64 and 13,698 is: 18,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.88 : 32,093.64 = 13,698 : x
  2. Step 2: Convert to fraction form
    23,264.88/32,093.64 = 13,698/x
  3. Step 3: Cross multiply
    23,264.88x = 32,093.64 × 13,698
  4. Step 4: Simplify right side
    23,264.88x = 439,618,680.72
  5. Step 5: Solve for x
    x = 439,618,680.72/23,264.88
  6. Step 6: Final answer
    x = 18,896.24

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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.