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Finding the Fourth Proportional to 14,400.15, 19,871.90 and 8,026.71

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Solution

The fourth proportional to 14,400.15, 19,871.90 and 8,026.71 is: 11,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.15 : 19,871.90 = 8,026.71 : x
  2. Step 2: Convert to fraction form
    14,400.15/19,871.90 = 8,026.71/x
  3. Step 3: Cross multiply
    14,400.15x = 19,871.90 × 8,026.71
  4. Step 4: Simplify right side
    14,400.15x = 159,505,938.32
  5. Step 5: Solve for x
    x = 159,505,938.32/14,400.15
  6. Step 6: Final answer
    x = 11,076.69

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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.