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Finding the Fourth Proportional to 17,800.44, 24,564.12 and 9,842.40

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Solution

The fourth proportional to 17,800.44, 24,564.12 and 9,842.40 is: 13,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.44 : 24,564.12 = 9,842.40 : x
  2. Step 2: Convert to fraction form
    17,800.44/24,564.12 = 9,842.40/x
  3. Step 3: Cross multiply
    17,800.44x = 24,564.12 × 9,842.40
  4. Step 4: Simplify right side
    17,800.44x = 241,769,894.69
  5. Step 5: Solve for x
    x = 241,769,894.69/17,800.44
  6. Step 6: Final answer
    x = 13,582.24

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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.