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Finding the Fourth Proportional to 24,622.50, 33,980.28 and 14,013.12

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Solution

The fourth proportional to 24,622.50, 33,980.28 and 14,013.12 is: 19,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622.50 : 33,980.28 = 14,013.12 : x
  2. Step 2: Convert to fraction form
    24,622.50/33,980.28 = 14,013.12/x
  3. Step 3: Cross multiply
    24,622.50x = 33,980.28 × 14,013.12
  4. Step 4: Simplify right side
    24,622.50x = 476,169,741.27
  5. Step 5: Solve for x
    x = 476,169,741.27/24,622.50
  6. Step 6: Final answer
    x = 19,338.81

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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.