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Finding the Fourth Proportional to 20,847.48, 31,271.04 and 5,265

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Solution

The fourth proportional to 20,847.48, 31,271.04 and 5,265 is: 7,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.48 : 31,271.04 = 5,265 : x
  2. Step 2: Convert to fraction form
    20,847.48/31,271.04 = 5,265/x
  3. Step 3: Cross multiply
    20,847.48x = 31,271.04 × 5,265
  4. Step 4: Simplify right side
    20,847.48x = 164,642,025.60
  5. Step 5: Solve for x
    x = 164,642,025.60/20,847.48
  6. Step 6: Final answer
    x = 7,897.45

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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.