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Finding the Fourth Proportional to 13,502.32, 18,611.98 and 9,246.02

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Solution

The fourth proportional to 13,502.32, 18,611.98 and 9,246.02 is: 12,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.32 : 18,611.98 = 9,246.02 : x
  2. Step 2: Convert to fraction form
    13,502.32/18,611.98 = 9,246.02/x
  3. Step 3: Cross multiply
    13,502.32x = 18,611.98 × 9,246.02
  4. Step 4: Simplify right side
    13,502.32x = 172,086,739.32
  5. Step 5: Solve for x
    x = 172,086,739.32/13,502.32
  6. Step 6: Final answer
    x = 12,744.98

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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.