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Finding the Fourth Proportional to 17,774.32, 24,520.44 and 10,318

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Solution

The fourth proportional to 17,774.32, 24,520.44 and 10,318 is: 14,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.32 : 24,520.44 = 10,318 : x
  2. Step 2: Convert to fraction form
    17,774.32/24,520.44 = 10,318/x
  3. Step 3: Cross multiply
    17,774.32x = 24,520.44 × 10,318
  4. Step 4: Simplify right side
    17,774.32x = 253,001,899.92
  5. Step 5: Solve for x
    x = 253,001,899.92/17,774.32
  6. Step 6: Final answer
    x = 14,234.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.