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Finding the Fourth Proportional to 14,429.86, 19,913.25 and 8,142.10

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Solution

The fourth proportional to 14,429.86, 19,913.25 and 8,142.10 is: 11,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.86 : 19,913.25 = 8,142.10 : x
  2. Step 2: Convert to fraction form
    14,429.86/19,913.25 = 8,142.10/x
  3. Step 3: Cross multiply
    14,429.86x = 19,913.25 × 8,142.10
  4. Step 4: Simplify right side
    14,429.86x = 162,135,672.83
  5. Step 5: Solve for x
    x = 162,135,672.83/14,429.86
  6. Step 6: Final answer
    x = 11,236.12

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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.