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Finding the Fourth Proportional to 14,997.60, 22,496.40 and 9,775.20

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Solution

The fourth proportional to 14,997.60, 22,496.40 and 9,775.20 is: 14,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.60 : 22,496.40 = 9,775.20 : x
  2. Step 2: Convert to fraction form
    14,997.60/22,496.40 = 9,775.20/x
  3. Step 3: Cross multiply
    14,997.60x = 22,496.40 × 9,775.20
  4. Step 4: Simplify right side
    14,997.60x = 219,906,809.28
  5. Step 5: Solve for x
    x = 219,906,809.28/14,997.60
  6. Step 6: Final answer
    x = 14,662.80

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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.