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Finding the Fourth Proportional to 24,385, 33,651.30 and 13,207

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Solution

The fourth proportional to 24,385, 33,651.30 and 13,207 is: 18,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385 : 33,651.30 = 13,207 : x
  2. Step 2: Convert to fraction form
    24,385/33,651.30 = 13,207/x
  3. Step 3: Cross multiply
    24,385x = 33,651.30 × 13,207
  4. Step 4: Simplify right side
    24,385x = 444,432,719.10
  5. Step 5: Solve for x
    x = 444,432,719.10/24,385
  6. Step 6: Final answer
    x = 18,225.66

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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.