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Finding the Fourth Proportional to 17,765, 24,515.70 and 10,313

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Solution

The fourth proportional to 17,765, 24,515.70 and 10,313 is: 14,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765 : 24,515.70 = 10,313 : x
  2. Step 2: Convert to fraction form
    17,765/24,515.70 = 10,313/x
  3. Step 3: Cross multiply
    17,765x = 24,515.70 × 10,313
  4. Step 4: Simplify right side
    17,765x = 252,830,414.10
  5. Step 5: Solve for x
    x = 252,830,414.10/17,765
  6. Step 6: Final answer
    x = 14,231.94

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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.