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Finding the Fourth Proportional to 17,770, 24,522.60 and 10,318

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Solution

The fourth proportional to 17,770, 24,522.60 and 10,318 is: 14,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770 : 24,522.60 = 10,318 : x
  2. Step 2: Convert to fraction form
    17,770/24,522.60 = 10,318/x
  3. Step 3: Cross multiply
    17,770x = 24,522.60 × 10,318
  4. Step 4: Simplify right side
    17,770x = 253,024,186.80
  5. Step 5: Solve for x
    x = 253,024,186.80/17,770
  6. Step 6: Final answer
    x = 14,238.84

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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.