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Finding the Fourth Proportional to 16,502.64, 22,782.49 and 12,745.25

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Solution

The fourth proportional to 16,502.64, 22,782.49 and 12,745.25 is: 17,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.64 : 22,782.49 = 12,745.25 : x
  2. Step 2: Convert to fraction form
    16,502.64/22,782.49 = 12,745.25/x
  3. Step 3: Cross multiply
    16,502.64x = 22,782.49 × 12,745.25
  4. Step 4: Simplify right side
    16,502.64x = 290,368,353.03
  5. Step 5: Solve for x
    x = 290,368,353.03/16,502.64
  6. Step 6: Final answer
    x = 17,595.27

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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.