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Finding the Fourth Proportional to 13,235.80, 19,824.90 and 8,032.60

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Solution

The fourth proportional to 13,235.80, 19,824.90 and 8,032.60 is: 12,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.80 : 19,824.90 = 8,032.60 : x
  2. Step 2: Convert to fraction form
    13,235.80/19,824.90 = 8,032.60/x
  3. Step 3: Cross multiply
    13,235.80x = 19,824.90 × 8,032.60
  4. Step 4: Simplify right side
    13,235.80x = 159,245,491.74
  5. Step 5: Solve for x
    x = 159,245,491.74/13,235.80
  6. Step 6: Final answer
    x = 12,031.42

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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.