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Finding the Fourth Proportional to 12,853.46, 19,243.74 and 8,416.30

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Solution

The fourth proportional to 12,853.46, 19,243.74 and 8,416.30 is: 12,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.46 : 19,243.74 = 8,416.30 : x
  2. Step 2: Convert to fraction form
    12,853.46/19,243.74 = 8,416.30/x
  3. Step 3: Cross multiply
    12,853.46x = 19,243.74 × 8,416.30
  4. Step 4: Simplify right side
    12,853.46x = 161,961,088.96
  5. Step 5: Solve for x
    x = 161,961,088.96/12,853.46
  6. Step 6: Final answer
    x = 12,600.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.