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Finding the Fourth Proportional to 24,477.53, 33,781.07 and 13,722.23

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Solution

The fourth proportional to 24,477.53, 33,781.07 and 13,722.23 is: 18,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.53 : 33,781.07 = 13,722.23 : x
  2. Step 2: Convert to fraction form
    24,477.53/33,781.07 = 13,722.23/x
  3. Step 3: Cross multiply
    24,477.53x = 33,781.07 × 13,722.23
  4. Step 4: Simplify right side
    24,477.53x = 463,551,374.67
  5. Step 5: Solve for x
    x = 463,551,374.67/24,477.53
  6. Step 6: Final answer
    x = 18,937.84

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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.