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Finding the Fourth Proportional to 24,350.56, 33,607.89 and 14,140

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Solution

The fourth proportional to 24,350.56, 33,607.89 and 14,140 is: 19,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350.56 : 33,607.89 = 14,140 : x
  2. Step 2: Convert to fraction form
    24,350.56/33,607.89 = 14,140/x
  3. Step 3: Cross multiply
    24,350.56x = 33,607.89 × 14,140
  4. Step 4: Simplify right side
    24,350.56x = 475,215,564.60
  5. Step 5: Solve for x
    x = 475,215,564.60/24,350.56
  6. Step 6: Final answer
    x = 19,515.59

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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.