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Finding the Fourth Proportional to 13,566.40, 20,333.40 and 6,989.20

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Solution

The fourth proportional to 13,566.40, 20,333.40 and 6,989.20 is: 10,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.40 : 20,333.40 = 6,989.20 : x
  2. Step 2: Convert to fraction form
    13,566.40/20,333.40 = 6,989.20/x
  3. Step 3: Cross multiply
    13,566.40x = 20,333.40 × 6,989.20
  4. Step 4: Simplify right side
    13,566.40x = 142,114,199.28
  5. Step 5: Solve for x
    x = 142,114,199.28/13,566.40
  6. Step 6: Final answer
    x = 10,475.45

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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.