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Finding the Fourth Proportional to 14,824.80, 20,455.20 and 8,539.20

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Solution

The fourth proportional to 14,824.80, 20,455.20 and 8,539.20 is: 11,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.80 : 20,455.20 = 8,539.20 : x
  2. Step 2: Convert to fraction form
    14,824.80/20,455.20 = 8,539.20/x
  3. Step 3: Cross multiply
    14,824.80x = 20,455.20 × 8,539.20
  4. Step 4: Simplify right side
    14,824.80x = 174,671,043.84
  5. Step 5: Solve for x
    x = 174,671,043.84/14,824.80
  6. Step 6: Final answer
    x = 11,782.35

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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.