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Finding the Fourth Proportional to 23,430.44, 32,330.82 and 13,997

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Solution

The fourth proportional to 23,430.44, 32,330.82 and 13,997 is: 19,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,430.44 : 32,330.82 = 13,997 : x
  2. Step 2: Convert to fraction form
    23,430.44/32,330.82 = 13,997/x
  3. Step 3: Cross multiply
    23,430.44x = 32,330.82 × 13,997
  4. Step 4: Simplify right side
    23,430.44x = 452,534,487.54
  5. Step 5: Solve for x
    x = 452,534,487.54/23,430.44
  6. Step 6: Final answer
    x = 19,313.96

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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.