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Finding the Fourth Proportional to 24,409.67, 33,683.24 and 14,202.59

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Solution

The fourth proportional to 24,409.67, 33,683.24 and 14,202.59 is: 19,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.67 : 33,683.24 = 14,202.59 : x
  2. Step 2: Convert to fraction form
    24,409.67/33,683.24 = 14,202.59/x
  3. Step 3: Cross multiply
    24,409.67x = 33,683.24 × 14,202.59
  4. Step 4: Simplify right side
    24,409.67x = 478,389,114.68
  5. Step 5: Solve for x
    x = 478,389,114.68/24,409.67
  6. Step 6: Final answer
    x = 19,598.35

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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.