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Finding the Fourth Proportional to 16,539.36, 22,824.57 and 8,985.84

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Solution

The fourth proportional to 16,539.36, 22,824.57 and 8,985.84 is: 12,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.36 : 22,824.57 = 8,985.84 : x
  2. Step 2: Convert to fraction form
    16,539.36/22,824.57 = 8,985.84/x
  3. Step 3: Cross multiply
    16,539.36x = 22,824.57 × 8,985.84
  4. Step 4: Simplify right side
    16,539.36x = 205,097,934.09
  5. Step 5: Solve for x
    x = 205,097,934.09/16,539.36
  6. Step 6: Final answer
    x = 12,400.60

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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.