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Finding the Fourth Proportional to 15,231.40, 22,814.70 and 9,982.60

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Solution

The fourth proportional to 15,231.40, 22,814.70 and 9,982.60 is: 14,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.40 : 22,814.70 = 9,982.60 : x
  2. Step 2: Convert to fraction form
    15,231.40/22,814.70 = 9,982.60/x
  3. Step 3: Cross multiply
    15,231.40x = 22,814.70 × 9,982.60
  4. Step 4: Simplify right side
    15,231.40x = 227,750,024.22
  5. Step 5: Solve for x
    x = 227,750,024.22/15,231.40
  6. Step 6: Final answer
    x = 14,952.67

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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.