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Finding the Fourth Proportional to 12,277.60, 18,416.40 and 11,564.80

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Solution

The fourth proportional to 12,277.60, 18,416.40 and 11,564.80 is: 17,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.60 : 18,416.40 = 11,564.80 : x
  2. Step 2: Convert to fraction form
    12,277.60/18,416.40 = 11,564.80/x
  3. Step 3: Cross multiply
    12,277.60x = 18,416.40 × 11,564.80
  4. Step 4: Simplify right side
    12,277.60x = 212,981,982.72
  5. Step 5: Solve for x
    x = 212,981,982.72/12,277.60
  6. Step 6: Final answer
    x = 17,347.20

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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.