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Finding the Fourth Proportional to 14,205.80, 21,315.74 and 10,448.31

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Solution

The fourth proportional to 14,205.80, 21,315.74 and 10,448.31 is: 15,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.80 : 21,315.74 = 10,448.31 : x
  2. Step 2: Convert to fraction form
    14,205.80/21,315.74 = 10,448.31/x
  3. Step 3: Cross multiply
    14,205.80x = 21,315.74 × 10,448.31
  4. Step 4: Simplify right side
    14,205.80x = 222,713,407.16
  5. Step 5: Solve for x
    x = 222,713,407.16/14,205.80
  6. Step 6: Final answer
    x = 15,677.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.