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Finding the Fourth Proportional to 16,920.20, 23,345.94 and 9,842.60

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Solution

The fourth proportional to 16,920.20, 23,345.94 and 9,842.60 is: 13,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920.20 : 23,345.94 = 9,842.60 : x
  2. Step 2: Convert to fraction form
    16,920.20/23,345.94 = 9,842.60/x
  3. Step 3: Cross multiply
    16,920.20x = 23,345.94 × 9,842.60
  4. Step 4: Simplify right side
    16,920.20x = 229,784,749.04
  5. Step 5: Solve for x
    x = 229,784,749.04/16,920.20
  6. Step 6: Final answer
    x = 13,580.50

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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.