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Finding the Fourth Proportional to 13,257.60, 18,291.60 and 8,225.76

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Solution

The fourth proportional to 13,257.60, 18,291.60 and 8,225.76 is: 11,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.60 : 18,291.60 = 8,225.76 : x
  2. Step 2: Convert to fraction form
    13,257.60/18,291.60 = 8,225.76/x
  3. Step 3: Cross multiply
    13,257.60x = 18,291.60 × 8,225.76
  4. Step 4: Simplify right side
    13,257.60x = 150,462,311.62
  5. Step 5: Solve for x
    x = 150,462,311.62/13,257.60
  6. Step 6: Final answer
    x = 11,349.14

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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.