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Finding the Fourth Proportional to 21,314.02, 31,971 and 5,731.64

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Solution

The fourth proportional to 21,314.02, 31,971 and 5,731.64 is: 8,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.02 : 31,971 = 5,731.64 : x
  2. Step 2: Convert to fraction form
    21,314.02/31,971 = 5,731.64/x
  3. Step 3: Cross multiply
    21,314.02x = 31,971 × 5,731.64
  4. Step 4: Simplify right side
    21,314.02x = 183,246,262.44
  5. Step 5: Solve for x
    x = 183,246,262.44/21,314.02
  6. Step 6: Final answer
    x = 8,597.45

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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.