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Finding the Fourth Proportional to 14,431.68, 19,913.04 and 8,142.84

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Solution

The fourth proportional to 14,431.68, 19,913.04 and 8,142.84 is: 11,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.68 : 19,913.04 = 8,142.84 : x
  2. Step 2: Convert to fraction form
    14,431.68/19,913.04 = 8,142.84/x
  3. Step 3: Cross multiply
    14,431.68x = 19,913.04 × 8,142.84
  4. Step 4: Simplify right side
    14,431.68x = 162,148,698.63
  5. Step 5: Solve for x
    x = 162,148,698.63/14,431.68
  6. Step 6: Final answer
    x = 11,235.61

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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.