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Finding the Fourth Proportional to 16,842.39, 23,242.68 and 9,289.02

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Solution

The fourth proportional to 16,842.39, 23,242.68 and 9,289.02 is: 12,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.39 : 23,242.68 = 9,289.02 : x
  2. Step 2: Convert to fraction form
    16,842.39/23,242.68 = 9,289.02/x
  3. Step 3: Cross multiply
    16,842.39x = 23,242.68 × 9,289.02
  4. Step 4: Simplify right side
    16,842.39x = 215,901,719.37
  5. Step 5: Solve for x
    x = 215,901,719.37/16,842.39
  6. Step 6: Final answer
    x = 12,818.95

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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.