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Finding the Fourth Proportional to 14,977.60, 22,466.40 and 9,728.80

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Solution

The fourth proportional to 14,977.60, 22,466.40 and 9,728.80 is: 14,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.60 : 22,466.40 = 9,728.80 : x
  2. Step 2: Convert to fraction form
    14,977.60/22,466.40 = 9,728.80/x
  3. Step 3: Cross multiply
    14,977.60x = 22,466.40 × 9,728.80
  4. Step 4: Simplify right side
    14,977.60x = 218,571,112.32
  5. Step 5: Solve for x
    x = 218,571,112.32/14,977.60
  6. Step 6: Final answer
    x = 14,593.20

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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.