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Finding the Fourth Proportional to 12,482.41, 17,228.63 and 8,234.23

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Solution

The fourth proportional to 12,482.41, 17,228.63 and 8,234.23 is: 11,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.41 : 17,228.63 = 8,234.23 : x
  2. Step 2: Convert to fraction form
    12,482.41/17,228.63 = 8,234.23/x
  3. Step 3: Cross multiply
    12,482.41x = 17,228.63 × 8,234.23
  4. Step 4: Simplify right side
    12,482.41x = 141,864,502.00
  5. Step 5: Solve for x
    x = 141,864,502.00/12,482.41
  6. Step 6: Final answer
    x = 11,365.15

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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.