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Finding the Fourth Proportional to 20,459.80, 30,693.30 and 7,319.80

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Solution

The fourth proportional to 20,459.80, 30,693.30 and 7,319.80 is: 10,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.80 : 30,693.30 = 7,319.80 : x
  2. Step 2: Convert to fraction form
    20,459.80/30,693.30 = 7,319.80/x
  3. Step 3: Cross multiply
    20,459.80x = 30,693.30 × 7,319.80
  4. Step 4: Simplify right side
    20,459.80x = 224,668,817.34
  5. Step 5: Solve for x
    x = 224,668,817.34/20,459.80
  6. Step 6: Final answer
    x = 10,980.99

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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.