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Finding the Fourth Proportional to 11,829.29, 16,308.72 and 9,805.14

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Solution

The fourth proportional to 11,829.29, 16,308.72 and 9,805.14 is: 13,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.29 : 16,308.72 = 9,805.14 : x
  2. Step 2: Convert to fraction form
    11,829.29/16,308.72 = 9,805.14/x
  3. Step 3: Cross multiply
    11,829.29x = 16,308.72 × 9,805.14
  4. Step 4: Simplify right side
    11,829.29x = 159,909,282.82
  5. Step 5: Solve for x
    x = 159,909,282.82/11,829.29
  6. Step 6: Final answer
    x = 13,518.08

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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.