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Finding the Fourth Proportional to 17,416.89, 24,038.37 and 9,863.64

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Solution

The fourth proportional to 17,416.89, 24,038.37 and 9,863.64 is: 13,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.89 : 24,038.37 = 9,863.64 : x
  2. Step 2: Convert to fraction form
    17,416.89/24,038.37 = 9,863.64/x
  3. Step 3: Cross multiply
    17,416.89x = 24,038.37 × 9,863.64
  4. Step 4: Simplify right side
    17,416.89x = 237,105,827.87
  5. Step 5: Solve for x
    x = 237,105,827.87/17,416.89
  6. Step 6: Final answer
    x = 13,613.56

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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.