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Finding the Fourth Proportional to 15,821.92, 23,732.34 and 7,505.92

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Solution

The fourth proportional to 15,821.92, 23,732.34 and 7,505.92 is: 11,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.92 : 23,732.34 = 7,505.92 : x
  2. Step 2: Convert to fraction form
    15,821.92/23,732.34 = 7,505.92/x
  3. Step 3: Cross multiply
    15,821.92x = 23,732.34 × 7,505.92
  4. Step 4: Simplify right side
    15,821.92x = 178,133,045.45
  5. Step 5: Solve for x
    x = 178,133,045.45/15,821.92
  6. Step 6: Final answer
    x = 11,258.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.