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Finding the Fourth Proportional to 13,461.84, 20,192.76 and 6,440.20

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Solution

The fourth proportional to 13,461.84, 20,192.76 and 6,440.20 is: 9,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.84 : 20,192.76 = 6,440.20 : x
  2. Step 2: Convert to fraction form
    13,461.84/20,192.76 = 6,440.20/x
  3. Step 3: Cross multiply
    13,461.84x = 20,192.76 × 6,440.20
  4. Step 4: Simplify right side
    13,461.84x = 130,045,412.95
  5. Step 5: Solve for x
    x = 130,045,412.95/13,461.84
  6. Step 6: Final answer
    x = 9,660.30

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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.