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Finding the Fourth Proportional to 23,695.76, 32,689.32 and 13,754

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Solution

The fourth proportional to 23,695.76, 32,689.32 and 13,754 is: 18,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.76 : 32,689.32 = 13,754 : x
  2. Step 2: Convert to fraction form
    23,695.76/32,689.32 = 13,754/x
  3. Step 3: Cross multiply
    23,695.76x = 32,689.32 × 13,754
  4. Step 4: Simplify right side
    23,695.76x = 449,608,907.28
  5. Step 5: Solve for x
    x = 449,608,907.28/23,695.76
  6. Step 6: Final answer
    x = 18,974.23

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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.