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Finding the Fourth Proportional to 14,149.98, 19,525.86 and 8,177.58

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Solution

The fourth proportional to 14,149.98, 19,525.86 and 8,177.58 is: 11,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.98 : 19,525.86 = 8,177.58 : x
  2. Step 2: Convert to fraction form
    14,149.98/19,525.86 = 8,177.58/x
  3. Step 3: Cross multiply
    14,149.98x = 19,525.86 × 8,177.58
  4. Step 4: Simplify right side
    14,149.98x = 159,674,282.22
  5. Step 5: Solve for x
    x = 159,674,282.22/14,149.98
  6. Step 6: Final answer
    x = 11,284.42

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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.