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Finding the Fourth Proportional to 13,504.32, 20,260.80 and 7,344

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Solution

The fourth proportional to 13,504.32, 20,260.80 and 7,344 is: 11,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.32 : 20,260.80 = 7,344 : x
  2. Step 2: Convert to fraction form
    13,504.32/20,260.80 = 7,344/x
  3. Step 3: Cross multiply
    13,504.32x = 20,260.80 × 7,344
  4. Step 4: Simplify right side
    13,504.32x = 148,795,315.20
  5. Step 5: Solve for x
    x = 148,795,315.20/13,504.32
  6. Step 6: Final answer
    x = 11,018.35

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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.