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Finding the Fourth Proportional to 24,057.34, 33,199.35 and 13,302.06

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Solution

The fourth proportional to 24,057.34, 33,199.35 and 13,302.06 is: 18,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.34 : 33,199.35 = 13,302.06 : x
  2. Step 2: Convert to fraction form
    24,057.34/33,199.35 = 13,302.06/x
  3. Step 3: Cross multiply
    24,057.34x = 33,199.35 × 13,302.06
  4. Step 4: Simplify right side
    24,057.34x = 441,619,745.66
  5. Step 5: Solve for x
    x = 441,619,745.66/24,057.34
  6. Step 6: Final answer
    x = 18,356.96

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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.