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Finding the Fourth Proportional to 17,661.84, 24,373.80 and 9,704.49

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Solution

The fourth proportional to 17,661.84, 24,373.80 and 9,704.49 is: 13,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.84 : 24,373.80 = 9,704.49 : x
  2. Step 2: Convert to fraction form
    17,661.84/24,373.80 = 9,704.49/x
  3. Step 3: Cross multiply
    17,661.84x = 24,373.80 × 9,704.49
  4. Step 4: Simplify right side
    17,661.84x = 236,535,298.36
  5. Step 5: Solve for x
    x = 236,535,298.36/17,661.84
  6. Step 6: Final answer
    x = 13,392.45

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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.