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Finding the Fourth Proportional to 24,133.42, 33,303.67 and 13,523.02

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Solution

The fourth proportional to 24,133.42, 33,303.67 and 13,523.02 is: 18,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.42 : 33,303.67 = 13,523.02 : x
  2. Step 2: Convert to fraction form
    24,133.42/33,303.67 = 13,523.02/x
  3. Step 3: Cross multiply
    24,133.42x = 33,303.67 × 13,523.02
  4. Step 4: Simplify right side
    24,133.42x = 450,365,961.35
  5. Step 5: Solve for x
    x = 450,365,961.35/24,133.42
  6. Step 6: Final answer
    x = 18,661.51

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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.