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Finding the Fourth Proportional to 21,875, 30,189.12 and 12,446.60

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Solution

The fourth proportional to 21,875, 30,189.12 and 12,446.60 is: 17,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875 : 30,189.12 = 12,446.60 : x
  2. Step 2: Convert to fraction form
    21,875/30,189.12 = 12,446.60/x
  3. Step 3: Cross multiply
    21,875x = 30,189.12 × 12,446.60
  4. Step 4: Simplify right side
    21,875x = 375,751,900.99
  5. Step 5: Solve for x
    x = 375,751,900.99/21,875
  6. Step 6: Final answer
    x = 17,177.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.