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Finding the Fourth Proportional to 15,705.21, 23,554.67 and 7,696.54

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Solution

The fourth proportional to 15,705.21, 23,554.67 and 7,696.54 is: 11,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.21 : 23,554.67 = 7,696.54 : x
  2. Step 2: Convert to fraction form
    15,705.21/23,554.67 = 7,696.54/x
  3. Step 3: Cross multiply
    15,705.21x = 23,554.67 × 7,696.54
  4. Step 4: Simplify right side
    15,705.21x = 181,289,420.20
  5. Step 5: Solve for x
    x = 181,289,420.20/15,705.21
  6. Step 6: Final answer
    x = 11,543.27

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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.