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Finding the Fourth Proportional to 23,423.74, 32,325.53 and 12,813.38

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Solution

The fourth proportional to 23,423.74, 32,325.53 and 12,813.38 is: 17,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.74 : 32,325.53 = 12,813.38 : x
  2. Step 2: Convert to fraction form
    23,423.74/32,325.53 = 12,813.38/x
  3. Step 3: Cross multiply
    23,423.74x = 32,325.53 × 12,813.38
  4. Step 4: Simplify right side
    23,423.74x = 414,199,299.59
  5. Step 5: Solve for x
    x = 414,199,299.59/23,423.74
  6. Step 6: Final answer
    x = 17,682.88

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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.