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Finding the Fourth Proportional to 17,800.82, 24,564.14 and 9,842.58

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Solution

The fourth proportional to 17,800.82, 24,564.14 and 9,842.58 is: 13,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.82 : 24,564.14 = 9,842.58 : x
  2. Step 2: Convert to fraction form
    17,800.82/24,564.14 = 9,842.58/x
  3. Step 3: Cross multiply
    17,800.82x = 24,564.14 × 9,842.58
  4. Step 4: Simplify right side
    17,800.82x = 241,774,513.08
  5. Step 5: Solve for x
    x = 241,774,513.08/17,800.82
  6. Step 6: Final answer
    x = 13,582.21

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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.