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Finding the Fourth Proportional to 20,860.34, 31,290.22 and 5,065.50

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Solution

The fourth proportional to 20,860.34, 31,290.22 and 5,065.50 is: 7,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.34 : 31,290.22 = 5,065.50 : x
  2. Step 2: Convert to fraction form
    20,860.34/31,290.22 = 5,065.50/x
  3. Step 3: Cross multiply
    20,860.34x = 31,290.22 × 5,065.50
  4. Step 4: Simplify right side
    20,860.34x = 158,500,609.41
  5. Step 5: Solve for x
    x = 158,500,609.41/20,860.34
  6. Step 6: Final answer
    x = 7,598.18

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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.