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Finding the Fourth Proportional to 12,488.20, 17,234.10 and 7,184.08

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Solution

The fourth proportional to 12,488.20, 17,234.10 and 7,184.08 is: 9,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.20 : 17,234.10 = 7,184.08 : x
  2. Step 2: Convert to fraction form
    12,488.20/17,234.10 = 7,184.08/x
  3. Step 3: Cross multiply
    12,488.20x = 17,234.10 × 7,184.08
  4. Step 4: Simplify right side
    12,488.20x = 123,811,153.13
  5. Step 5: Solve for x
    x = 123,811,153.13/12,488.20
  6. Step 6: Final answer
    x = 9,914.25

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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.