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Finding the Fourth Proportional to 14,150.74, 19,524.44 and 9,431.86

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Solution

The fourth proportional to 14,150.74, 19,524.44 and 9,431.86 is: 13,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.74 : 19,524.44 = 9,431.86 : x
  2. Step 2: Convert to fraction form
    14,150.74/19,524.44 = 9,431.86/x
  3. Step 3: Cross multiply
    14,150.74x = 19,524.44 × 9,431.86
  4. Step 4: Simplify right side
    14,150.74x = 184,151,784.66
  5. Step 5: Solve for x
    x = 184,151,784.66/14,150.74
  6. Step 6: Final answer
    x = 13,013.58

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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.