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Finding the Fourth Proportional to 13,382.98, 18,451 and 11,514.63

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Solution

The fourth proportional to 13,382.98, 18,451 and 11,514.63 is: 15,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.98 : 18,451 = 11,514.63 : x
  2. Step 2: Convert to fraction form
    13,382.98/18,451 = 11,514.63/x
  3. Step 3: Cross multiply
    13,382.98x = 18,451 × 11,514.63
  4. Step 4: Simplify right side
    13,382.98x = 212,456,438.13
  5. Step 5: Solve for x
    x = 212,456,438.13/13,382.98
  6. Step 6: Final answer
    x = 15,875.12

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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.