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Finding the Fourth Proportional to 23,482.82, 32,405.78 and 12,872.22

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Solution

The fourth proportional to 23,482.82, 32,405.78 and 12,872.22 is: 17,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.82 : 32,405.78 = 12,872.22 : x
  2. Step 2: Convert to fraction form
    23,482.82/32,405.78 = 12,872.22/x
  3. Step 3: Cross multiply
    23,482.82x = 32,405.78 × 12,872.22
  4. Step 4: Simplify right side
    23,482.82x = 417,134,265.07
  5. Step 5: Solve for x
    x = 417,134,265.07/23,482.82
  6. Step 6: Final answer
    x = 17,763.38

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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.