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Finding the Fourth Proportional to 13,339.32, 19,996.56 and 8,394

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Solution

The fourth proportional to 13,339.32, 19,996.56 and 8,394 is: 12,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,339.32 : 19,996.56 = 8,394 : x
  2. Step 2: Convert to fraction form
    13,339.32/19,996.56 = 8,394/x
  3. Step 3: Cross multiply
    13,339.32x = 19,996.56 × 8,394
  4. Step 4: Simplify right side
    13,339.32x = 167,851,124.64
  5. Step 5: Solve for x
    x = 167,851,124.64/13,339.32
  6. Step 6: Final answer
    x = 12,583.18

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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.