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Finding the Fourth Proportional to 14,149.64, 19,525.55 and 7,776.09

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Solution

The fourth proportional to 14,149.64, 19,525.55 and 7,776.09 is: 10,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.64 : 19,525.55 = 7,776.09 : x
  2. Step 2: Convert to fraction form
    14,149.64/19,525.55 = 7,776.09/x
  3. Step 3: Cross multiply
    14,149.64x = 19,525.55 × 7,776.09
  4. Step 4: Simplify right side
    14,149.64x = 151,832,453.54
  5. Step 5: Solve for x
    x = 151,832,453.54/14,149.64
  6. Step 6: Final answer
    x = 10,730.49

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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.