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Finding the Fourth Proportional to 24,969.32, 34,457.84 and 13,791.32

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Solution

The fourth proportional to 24,969.32, 34,457.84 and 13,791.32 is: 19,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969.32 : 34,457.84 = 13,791.32 : x
  2. Step 2: Convert to fraction form
    24,969.32/34,457.84 = 13,791.32/x
  3. Step 3: Cross multiply
    24,969.32x = 34,457.84 × 13,791.32
  4. Step 4: Simplify right side
    24,969.32x = 475,219,097.95
  5. Step 5: Solve for x
    x = 475,219,097.95/24,969.32
  6. Step 6: Final answer
    x = 19,032.12

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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.