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Finding the Fourth Proportional to 13,364.24, 18,425.90 and 8,575.74

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Solution

The fourth proportional to 13,364.24, 18,425.90 and 8,575.74 is: 11,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.24 : 18,425.90 = 8,575.74 : x
  2. Step 2: Convert to fraction form
    13,364.24/18,425.90 = 8,575.74/x
  3. Step 3: Cross multiply
    13,364.24x = 18,425.90 × 8,575.74
  4. Step 4: Simplify right side
    13,364.24x = 158,015,592.66
  5. Step 5: Solve for x
    x = 158,015,592.66/13,364.24
  6. Step 6: Final answer
    x = 11,823.76

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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.