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Finding the Fourth Proportional to 17,469.98, 24,106.55 and 9,914.80

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Solution

The fourth proportional to 17,469.98, 24,106.55 and 9,914.80 is: 13,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.98 : 24,106.55 = 9,914.80 : x
  2. Step 2: Convert to fraction form
    17,469.98/24,106.55 = 9,914.80/x
  3. Step 3: Cross multiply
    17,469.98x = 24,106.55 × 9,914.80
  4. Step 4: Simplify right side
    17,469.98x = 239,011,621.94
  5. Step 5: Solve for x
    x = 239,011,621.94/17,469.98
  6. Step 6: Final answer
    x = 13,681.28

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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.