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Finding the Fourth Proportional to 13,794.06, 19,030.66 and 8,414.64

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Solution

The fourth proportional to 13,794.06, 19,030.66 and 8,414.64 is: 11,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.06 : 19,030.66 = 8,414.64 : x
  2. Step 2: Convert to fraction form
    13,794.06/19,030.66 = 8,414.64/x
  3. Step 3: Cross multiply
    13,794.06x = 19,030.66 × 8,414.64
  4. Step 4: Simplify right side
    13,794.06x = 160,136,152.86
  5. Step 5: Solve for x
    x = 160,136,152.86/13,794.06
  6. Step 6: Final answer
    x = 11,609.07

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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.