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Finding the Fourth Proportional to 14,076.86, 19,408.43 and 9,032.18

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Solution

The fourth proportional to 14,076.86, 19,408.43 and 9,032.18 is: 12,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.86 : 19,408.43 = 9,032.18 : x
  2. Step 2: Convert to fraction form
    14,076.86/19,408.43 = 9,032.18/x
  3. Step 3: Cross multiply
    14,076.86x = 19,408.43 × 9,032.18
  4. Step 4: Simplify right side
    14,076.86x = 175,300,388.12
  5. Step 5: Solve for x
    x = 175,300,388.12/14,076.86
  6. Step 6: Final answer
    x = 12,453.09

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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.