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Finding the Fourth Proportional to 12,396.40, 18,590.16 and 4,496.92

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Solution

The fourth proportional to 12,396.40, 18,590.16 and 4,496.92 is: 6,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.40 : 18,590.16 = 4,496.92 : x
  2. Step 2: Convert to fraction form
    12,396.40/18,590.16 = 4,496.92/x
  3. Step 3: Cross multiply
    12,396.40x = 18,590.16 × 4,496.92
  4. Step 4: Simplify right side
    12,396.40x = 83,598,462.31
  5. Step 5: Solve for x
    x = 83,598,462.31/12,396.40
  6. Step 6: Final answer
    x = 6,743.77

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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.