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Finding the Fourth Proportional to 17,663.96, 24,369.28 and 11,380

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Solution

The fourth proportional to 17,663.96, 24,369.28 and 11,380 is: 15,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.96 : 24,369.28 = 11,380 : x
  2. Step 2: Convert to fraction form
    17,663.96/24,369.28 = 11,380/x
  3. Step 3: Cross multiply
    17,663.96x = 24,369.28 × 11,380
  4. Step 4: Simplify right side
    17,663.96x = 277,322,406.40
  5. Step 5: Solve for x
    x = 277,322,406.40/17,663.96
  6. Step 6: Final answer
    x = 15,699.90

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1.5x scale

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.