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Finding the Fourth Proportional to 21,159.94, 31,462.97 and 20,274.16

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Solution

The fourth proportional to 21,159.94, 31,462.97 and 20,274.16 is: 30,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.94 : 31,462.97 = 20,274.16 : x
  2. Step 2: Convert to fraction form
    21,159.94/31,462.97 = 20,274.16/x
  3. Step 3: Cross multiply
    21,159.94x = 31,462.97 × 20,274.16
  4. Step 4: Simplify right side
    21,159.94x = 637,885,287.86
  5. Step 5: Solve for x
    x = 637,885,287.86/21,159.94
  6. Step 6: Final answer
    x = 30,145.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.