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Finding the Fourth Proportional to 17,673.96, 24,389.52 and 9,716.16

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Solution

The fourth proportional to 17,673.96, 24,389.52 and 9,716.16 is: 13,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.96 : 24,389.52 = 9,716.16 : x
  2. Step 2: Convert to fraction form
    17,673.96/24,389.52 = 9,716.16/x
  3. Step 3: Cross multiply
    17,673.96x = 24,389.52 × 9,716.16
  4. Step 4: Simplify right side
    17,673.96x = 236,972,478.64
  5. Step 5: Solve for x
    x = 236,972,478.64/17,673.96
  6. Step 6: Final answer
    x = 13,408.00

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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.