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Finding the Fourth Proportional to 14,175.48, 19,559.75 and 8,206.11

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Solution

The fourth proportional to 14,175.48, 19,559.75 and 8,206.11 is: 11,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.48 : 19,559.75 = 8,206.11 : x
  2. Step 2: Convert to fraction form
    14,175.48/19,559.75 = 8,206.11/x
  3. Step 3: Cross multiply
    14,175.48x = 19,559.75 × 8,206.11
  4. Step 4: Simplify right side
    14,175.48x = 160,509,488.28
  5. Step 5: Solve for x
    x = 160,509,488.28/14,175.48
  6. Step 6: Final answer
    x = 11,323.04

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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.