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Finding the Fourth Proportional to 20,858.13, 31,287.06 and 5,275.80

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Solution

The fourth proportional to 20,858.13, 31,287.06 and 5,275.80 is: 7,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.13 : 31,287.06 = 5,275.80 : x
  2. Step 2: Convert to fraction form
    20,858.13/31,287.06 = 5,275.80/x
  3. Step 3: Cross multiply
    20,858.13x = 31,287.06 × 5,275.80
  4. Step 4: Simplify right side
    20,858.13x = 165,064,271.15
  5. Step 5: Solve for x
    x = 165,064,271.15/20,858.13
  6. Step 6: Final answer
    x = 7,913.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.