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Finding the Fourth Proportional to 12,496.57, 18,735.60 and 7,565.04

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Solution

The fourth proportional to 12,496.57, 18,735.60 and 7,565.04 is: 11,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.57 : 18,735.60 = 7,565.04 : x
  2. Step 2: Convert to fraction form
    12,496.57/18,735.60 = 7,565.04/x
  3. Step 3: Cross multiply
    12,496.57x = 18,735.60 × 7,565.04
  4. Step 4: Simplify right side
    12,496.57x = 141,735,563.42
  5. Step 5: Solve for x
    x = 141,735,563.42/12,496.57
  6. Step 6: Final answer
    x = 11,341.96

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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.