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Finding the Fourth Proportional to 17,685, 24,405.30 and 10,233

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Solution

The fourth proportional to 17,685, 24,405.30 and 10,233 is: 14,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685 : 24,405.30 = 10,233 : x
  2. Step 2: Convert to fraction form
    17,685/24,405.30 = 10,233/x
  3. Step 3: Cross multiply
    17,685x = 24,405.30 × 10,233
  4. Step 4: Simplify right side
    17,685x = 249,739,434.90
  5. Step 5: Solve for x
    x = 249,739,434.90/17,685
  6. Step 6: Final answer
    x = 14,121.54

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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.