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Finding the Fourth Proportional to 12,237.60, 18,334.80 and 7,615.20

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Solution

The fourth proportional to 12,237.60, 18,334.80 and 7,615.20 is: 11,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.60 : 18,334.80 = 7,615.20 : x
  2. Step 2: Convert to fraction form
    12,237.60/18,334.80 = 7,615.20/x
  3. Step 3: Cross multiply
    12,237.60x = 18,334.80 × 7,615.20
  4. Step 4: Simplify right side
    12,237.60x = 139,623,168.96
  5. Step 5: Solve for x
    x = 139,623,168.96/12,237.60
  6. Step 6: Final answer
    x = 11,409.36

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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.