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Finding the Fourth Proportional to 13,129.60, 18,118.40 and 7,824.32

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Solution

The fourth proportional to 13,129.60, 18,118.40 and 7,824.32 is: 10,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.60 : 18,118.40 = 7,824.32 : x
  2. Step 2: Convert to fraction form
    13,129.60/18,118.40 = 7,824.32/x
  3. Step 3: Cross multiply
    13,129.60x = 18,118.40 × 7,824.32
  4. Step 4: Simplify right side
    13,129.60x = 141,764,159.49
  5. Step 5: Solve for x
    x = 141,764,159.49/13,129.60
  6. Step 6: Final answer
    x = 10,797.29

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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.