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Finding the Fourth Proportional to 17,902.32, 24,705.54 and 9,945.28

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Solution

The fourth proportional to 17,902.32, 24,705.54 and 9,945.28 is: 13,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.32 : 24,705.54 = 9,945.28 : x
  2. Step 2: Convert to fraction form
    17,902.32/24,705.54 = 9,945.28/x
  3. Step 3: Cross multiply
    17,902.32x = 24,705.54 × 9,945.28
  4. Step 4: Simplify right side
    17,902.32x = 245,703,512.85
  5. Step 5: Solve for x
    x = 245,703,512.85/17,902.32
  6. Step 6: Final answer
    x = 13,724.67

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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.