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Finding the Fourth Proportional to 14,531.94, 19,991.14 and 12,731.30

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Solution

The fourth proportional to 14,531.94, 19,991.14 and 12,731.30 is: 17,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.94 : 19,991.14 = 12,731.30 : x
  2. Step 2: Convert to fraction form
    14,531.94/19,991.14 = 12,731.30/x
  3. Step 3: Cross multiply
    14,531.94x = 19,991.14 × 12,731.30
  4. Step 4: Simplify right side
    14,531.94x = 254,513,200.68
  5. Step 5: Solve for x
    x = 254,513,200.68/14,531.94
  6. Step 6: Final answer
    x = 17,514.06

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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.