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Finding the Fourth Proportional to 14,149.77, 19,525.12 and 8,180.53

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Solution

The fourth proportional to 14,149.77, 19,525.12 and 8,180.53 is: 11,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.77 : 19,525.12 = 8,180.53 : x
  2. Step 2: Convert to fraction form
    14,149.77/19,525.12 = 8,180.53/x
  3. Step 3: Cross multiply
    14,149.77x = 19,525.12 × 8,180.53
  4. Step 4: Simplify right side
    14,149.77x = 159,725,829.91
  5. Step 5: Solve for x
    x = 159,725,829.91/14,149.77
  6. Step 6: Final answer
    x = 11,288.23

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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.