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Finding the Fourth Proportional to 14,390.24, 19,858.92 and 8,102.84

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Solution

The fourth proportional to 14,390.24, 19,858.92 and 8,102.84 is: 11,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.24 : 19,858.92 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    14,390.24/19,858.92 = 8,102.84/x
  3. Step 3: Cross multiply
    14,390.24x = 19,858.92 × 8,102.84
  4. Step 4: Simplify right side
    14,390.24x = 160,913,651.33
  5. Step 5: Solve for x
    x = 160,913,651.33/14,390.24
  6. Step 6: Final answer
    x = 11,182.14

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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.