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Finding the Fourth Proportional to 17,673.39, 24,389.69 and 9,715.78

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Solution

The fourth proportional to 17,673.39, 24,389.69 and 9,715.78 is: 13,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.39 : 24,389.69 = 9,715.78 : x
  2. Step 2: Convert to fraction form
    17,673.39/24,389.69 = 9,715.78/x
  3. Step 3: Cross multiply
    17,673.39x = 24,389.69 × 9,715.78
  4. Step 4: Simplify right side
    17,673.39x = 236,964,740.36
  5. Step 5: Solve for x
    x = 236,964,740.36/17,673.39
  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.