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Finding the Fourth Proportional to 24,144.96, 33,315.84 and 13,534.32

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Solution

The fourth proportional to 24,144.96, 33,315.84 and 13,534.32 is: 18,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.96 : 33,315.84 = 13,534.32 : x
  2. Step 2: Convert to fraction form
    24,144.96/33,315.84 = 13,534.32/x
  3. Step 3: Cross multiply
    24,144.96x = 33,315.84 × 13,534.32
  4. Step 4: Simplify right side
    24,144.96x = 450,907,239.63
  5. Step 5: Solve for x
    x = 450,907,239.63/24,144.96
  6. Step 6: Final answer
    x = 18,675.00

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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.