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Finding the Fourth Proportional to 16,565.23, 24,857.57 and 11,880.19

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Solution

The fourth proportional to 16,565.23, 24,857.57 and 11,880.19 is: 17,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.23 : 24,857.57 = 11,880.19 : x
  2. Step 2: Convert to fraction form
    16,565.23/24,857.57 = 11,880.19/x
  3. Step 3: Cross multiply
    16,565.23x = 24,857.57 × 11,880.19
  4. Step 4: Simplify right side
    16,565.23x = 295,312,654.54
  5. Step 5: Solve for x
    x = 295,312,654.54/16,565.23
  6. Step 6: Final answer
    x = 17,827.26

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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.