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Finding the Fourth Proportional to 20,266.80, 30,457.80 and 17,732.40

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Solution

The fourth proportional to 20,266.80, 30,457.80 and 17,732.40 is: 26,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.80 : 30,457.80 = 17,732.40 : x
  2. Step 2: Convert to fraction form
    20,266.80/30,457.80 = 17,732.40/x
  3. Step 3: Cross multiply
    20,266.80x = 30,457.80 × 17,732.40
  4. Step 4: Simplify right side
    20,266.80x = 540,089,892.72
  5. Step 5: Solve for x
    x = 540,089,892.72/20,266.80
  6. Step 6: Final answer
    x = 26,649.00

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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.