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Finding the Fourth Proportional to 12,703.25, 19,005.66 and 8,523.36

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Solution

The fourth proportional to 12,703.25, 19,005.66 and 8,523.36 is: 12,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.25 : 19,005.66 = 8,523.36 : x
  2. Step 2: Convert to fraction form
    12,703.25/19,005.66 = 8,523.36/x
  3. Step 3: Cross multiply
    12,703.25x = 19,005.66 × 8,523.36
  4. Step 4: Simplify right side
    12,703.25x = 161,992,082.22
  5. Step 5: Solve for x
    x = 161,992,082.22/12,703.25
  6. Step 6: Final answer
    x = 12,752.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.