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Finding the Fourth Proportional to 17,800.78, 24,564.72 and 9,842.80

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Solution

The fourth proportional to 17,800.78, 24,564.72 and 9,842.80 is: 13,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.78 : 24,564.72 = 9,842.80 : x
  2. Step 2: Convert to fraction form
    17,800.78/24,564.72 = 9,842.80/x
  3. Step 3: Cross multiply
    17,800.78x = 24,564.72 × 9,842.80
  4. Step 4: Simplify right side
    17,800.78x = 241,785,626.02
  5. Step 5: Solve for x
    x = 241,785,626.02/17,800.78
  6. Step 6: Final answer
    x = 13,582.87

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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.