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Finding the Fourth Proportional to 23,763.66, 32,797.31 and 13,690.14

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Solution

The fourth proportional to 23,763.66, 32,797.31 and 13,690.14 is: 18,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.66 : 32,797.31 = 13,690.14 : x
  2. Step 2: Convert to fraction form
    23,763.66/32,797.31 = 13,690.14/x
  3. Step 3: Cross multiply
    23,763.66x = 32,797.31 × 13,690.14
  4. Step 4: Simplify right side
    23,763.66x = 448,999,697.07
  5. Step 5: Solve for x
    x = 448,999,697.07/23,763.66
  6. Step 6: Final answer
    x = 18,894.38

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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.