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Finding the Fourth Proportional to 14,321.25, 19,763.46 and 8,033.76

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Solution

The fourth proportional to 14,321.25, 19,763.46 and 8,033.76 is: 11,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.25 : 19,763.46 = 8,033.76 : x
  2. Step 2: Convert to fraction form
    14,321.25/19,763.46 = 8,033.76/x
  3. Step 3: Cross multiply
    14,321.25x = 19,763.46 × 8,033.76
  4. Step 4: Simplify right side
    14,321.25x = 158,774,894.41
  5. Step 5: Solve for x
    x = 158,774,894.41/14,321.25
  6. Step 6: Final answer
    x = 11,086.66

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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.