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Finding the Fourth Proportional to 24,013.12, 33,135.04 and 13,403.20

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Solution

The fourth proportional to 24,013.12, 33,135.04 and 13,403.20 is: 18,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.12 : 33,135.04 = 13,403.20 : x
  2. Step 2: Convert to fraction form
    24,013.12/33,135.04 = 13,403.20/x
  3. Step 3: Cross multiply
    24,013.12x = 33,135.04 × 13,403.20
  4. Step 4: Simplify right side
    24,013.12x = 444,115,485.76
  5. Step 5: Solve for x
    x = 444,115,485.76/24,013.12
  6. Step 6: Final answer
    x = 18,494.70

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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.