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Finding the Fourth Proportional to 14,378.49, 19,842.84 and 8,005.41

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Solution

The fourth proportional to 14,378.49, 19,842.84 and 8,005.41 is: 11,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.49 : 19,842.84 = 8,005.41 : x
  2. Step 2: Convert to fraction form
    14,378.49/19,842.84 = 8,005.41/x
  3. Step 3: Cross multiply
    14,378.49x = 19,842.84 × 8,005.41
  4. Step 4: Simplify right side
    14,378.49x = 158,850,069.76
  5. Step 5: Solve for x
    x = 158,850,069.76/14,378.49
  6. Step 6: Final answer
    x = 11,047.76

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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.