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Finding the Fourth Proportional to 21,821.28, 30,113.40 and 12,389.84

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Solution

The fourth proportional to 21,821.28, 30,113.40 and 12,389.84 is: 17,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.28 : 30,113.40 = 12,389.84 : x
  2. Step 2: Convert to fraction form
    21,821.28/30,113.40 = 12,389.84/x
  3. Step 3: Cross multiply
    21,821.28x = 30,113.40 × 12,389.84
  4. Step 4: Simplify right side
    21,821.28x = 373,100,170.21
  5. Step 5: Solve for x
    x = 373,100,170.21/21,821.28
  6. Step 6: Final answer
    x = 17,098.00

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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.