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Finding the Fourth Proportional to 21,194.94, 31,797.95 and 12,301.72

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Solution

The fourth proportional to 21,194.94, 31,797.95 and 12,301.72 is: 18,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.94 : 31,797.95 = 12,301.72 : x
  2. Step 2: Convert to fraction form
    21,194.94/31,797.95 = 12,301.72/x
  3. Step 3: Cross multiply
    21,194.94x = 31,797.95 × 12,301.72
  4. Step 4: Simplify right side
    21,194.94x = 391,169,477.47
  5. Step 5: Solve for x
    x = 391,169,477.47/21,194.94
  6. Step 6: Final answer
    x = 18,455.80

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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.