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Finding the Fourth Proportional to 13,428, 20,127.60 and 6,487.20

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Solution

The fourth proportional to 13,428, 20,127.60 and 6,487.20 is: 9,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428 : 20,127.60 = 6,487.20 : x
  2. Step 2: Convert to fraction form
    13,428/20,127.60 = 6,487.20/x
  3. Step 3: Cross multiply
    13,428x = 20,127.60 × 6,487.20
  4. Step 4: Simplify right side
    13,428x = 130,571,766.72
  5. Step 5: Solve for x
    x = 130,571,766.72/13,428
  6. Step 6: Final answer
    x = 9,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.