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Finding the Fourth Proportional to 17,670.96, 24,378.94 and 11,387

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Solution

The fourth proportional to 17,670.96, 24,378.94 and 11,387 is: 15,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.96 : 24,378.94 = 11,387 : x
  2. Step 2: Convert to fraction form
    17,670.96/24,378.94 = 11,387/x
  3. Step 3: Cross multiply
    17,670.96x = 24,378.94 × 11,387
  4. Step 4: Simplify right side
    17,670.96x = 277,602,989.78
  5. Step 5: Solve for x
    x = 277,602,989.78/17,670.96
  6. Step 6: Final answer
    x = 15,709.56

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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.