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Finding the Fourth Proportional to 14,414.51, 19,891.70 and 8,041.01

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Solution

The fourth proportional to 14,414.51, 19,891.70 and 8,041.01 is: 11,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.51 : 19,891.70 = 8,041.01 : x
  2. Step 2: Convert to fraction form
    14,414.51/19,891.70 = 8,041.01/x
  3. Step 3: Cross multiply
    14,414.51x = 19,891.70 × 8,041.01
  4. Step 4: Simplify right side
    14,414.51x = 159,949,218.95
  5. Step 5: Solve for x
    x = 159,949,218.95/14,414.51
  6. Step 6: Final answer
    x = 11,096.40

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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.