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Finding the Fourth Proportional to 21,114.04, 31,653.54 and 7,959.16

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Solution

The fourth proportional to 21,114.04, 31,653.54 and 7,959.16 is: 11,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.04 : 31,653.54 = 7,959.16 : x
  2. Step 2: Convert to fraction form
    21,114.04/31,653.54 = 7,959.16/x
  3. Step 3: Cross multiply
    21,114.04x = 31,653.54 × 7,959.16
  4. Step 4: Simplify right side
    21,114.04x = 251,935,589.43
  5. Step 5: Solve for x
    x = 251,935,589.43/21,114.04
  6. Step 6: Final answer
    x = 11,932.14

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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.