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Finding the Fourth Proportional to 11,813.31, 16,287.16 and 9,681.03

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Solution

The fourth proportional to 11,813.31, 16,287.16 and 9,681.03 is: 13,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.31 : 16,287.16 = 9,681.03 : x
  2. Step 2: Convert to fraction form
    11,813.31/16,287.16 = 9,681.03/x
  3. Step 3: Cross multiply
    11,813.31x = 16,287.16 × 9,681.03
  4. Step 4: Simplify right side
    11,813.31x = 157,676,484.57
  5. Step 5: Solve for x
    x = 157,676,484.57/11,813.31
  6. Step 6: Final answer
    x = 13,347.36

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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.