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Finding the Fourth Proportional to 16,561.64, 22,842.24 and 12,083.60

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Solution

The fourth proportional to 16,561.64, 22,842.24 and 12,083.60 is: 16,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.64 : 22,842.24 = 12,083.60 : x
  2. Step 2: Convert to fraction form
    16,561.64/22,842.24 = 12,083.60/x
  3. Step 3: Cross multiply
    16,561.64x = 22,842.24 × 12,083.60
  4. Step 4: Simplify right side
    16,561.64x = 276,016,491.26
  5. Step 5: Solve for x
    x = 276,016,491.26/16,561.64
  6. Step 6: Final answer
    x = 16,666.01

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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.