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Finding the Fourth Proportional to 13,646.90, 18,833.64 and 10,283.78

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Solution

The fourth proportional to 13,646.90, 18,833.64 and 10,283.78 is: 14,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.90 : 18,833.64 = 10,283.78 : x
  2. Step 2: Convert to fraction form
    13,646.90/18,833.64 = 10,283.78/x
  3. Step 3: Cross multiply
    13,646.90x = 18,833.64 × 10,283.78
  4. Step 4: Simplify right side
    13,646.90x = 193,681,010.36
  5. Step 5: Solve for x
    x = 193,681,010.36/13,646.90
  6. Step 6: Final answer
    x = 14,192.31

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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.