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Finding the Fourth Proportional to 23,679.19, 32,677.35 and 12,924.16

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Solution

The fourth proportional to 23,679.19, 32,677.35 and 12,924.16 is: 17,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.19 : 32,677.35 = 12,924.16 : x
  2. Step 2: Convert to fraction form
    23,679.19/32,677.35 = 12,924.16/x
  3. Step 3: Cross multiply
    23,679.19x = 32,677.35 × 12,924.16
  4. Step 4: Simplify right side
    23,679.19x = 422,327,299.78
  5. Step 5: Solve for x
    x = 422,327,299.78/23,679.19
  6. Step 6: Final answer
    x = 17,835.38

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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.