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Finding the Fourth Proportional to 14,378.40, 19,840.92 and 8,004.84

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Solution

The fourth proportional to 14,378.40, 19,840.92 and 8,004.84 is: 11,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.40 : 19,840.92 = 8,004.84 : x
  2. Step 2: Convert to fraction form
    14,378.40/19,840.92 = 8,004.84/x
  3. Step 3: Cross multiply
    14,378.40x = 19,840.92 × 8,004.84
  4. Step 4: Simplify right side
    14,378.40x = 158,823,390.05
  5. Step 5: Solve for x
    x = 158,823,390.05/14,378.40
  6. Step 6: Final answer
    x = 11,045.97

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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.