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Finding the Fourth Proportional to 21,211.64, 31,818.28 and 5,629.40

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Solution

The fourth proportional to 21,211.64, 31,818.28 and 5,629.40 is: 8,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.64 : 31,818.28 = 5,629.40 : x
  2. Step 2: Convert to fraction form
    21,211.64/31,818.28 = 5,629.40/x
  3. Step 3: Cross multiply
    21,211.64x = 31,818.28 × 5,629.40
  4. Step 4: Simplify right side
    21,211.64x = 179,117,825.43
  5. Step 5: Solve for x
    x = 179,117,825.43/21,211.64
  6. Step 6: Final answer
    x = 8,444.32

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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.