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Finding the Fourth Proportional to 17,355, 23,969.46 and 11,756.28

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Solution

The fourth proportional to 17,355, 23,969.46 and 11,756.28 is: 16,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,355 : 23,969.46 = 11,756.28 : x
  2. Step 2: Convert to fraction form
    17,355/23,969.46 = 11,756.28/x
  3. Step 3: Cross multiply
    17,355x = 23,969.46 × 11,756.28
  4. Step 4: Simplify right side
    17,355x = 281,791,683.21
  5. Step 5: Solve for x
    x = 281,791,683.21/17,355
  6. Step 6: Final answer
    x = 16,236.92

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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.