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Finding the Fourth Proportional to 21,254.03, 31,884.50 and 6,459.48

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Solution

The fourth proportional to 21,254.03, 31,884.50 and 6,459.48 is: 9,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.03 : 31,884.50 = 6,459.48 : x
  2. Step 2: Convert to fraction form
    21,254.03/31,884.50 = 6,459.48/x
  3. Step 3: Cross multiply
    21,254.03x = 31,884.50 × 6,459.48
  4. Step 4: Simplify right side
    21,254.03x = 205,957,290.06
  5. Step 5: Solve for x
    x = 205,957,290.06/21,254.03
  6. Step 6: Final answer
    x = 9,690.27

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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.