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Finding the Fourth Proportional to 14,078.67, 19,423.56 and 8,409.48

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Solution

The fourth proportional to 14,078.67, 19,423.56 and 8,409.48 is: 11,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.67 : 19,423.56 = 8,409.48 : x
  2. Step 2: Convert to fraction form
    14,078.67/19,423.56 = 8,409.48/x
  3. Step 3: Cross multiply
    14,078.67x = 19,423.56 × 8,409.48
  4. Step 4: Simplify right side
    14,078.67x = 163,342,039.35
  5. Step 5: Solve for x
    x = 163,342,039.35/14,078.67
  6. Step 6: Final answer
    x = 11,602.09

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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.