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Finding the Fourth Proportional to 24,495.16, 33,801.96 and 13,884.16

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Solution

The fourth proportional to 24,495.16, 33,801.96 and 13,884.16 is: 19,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.16 : 33,801.96 = 13,884.16 : x
  2. Step 2: Convert to fraction form
    24,495.16/33,801.96 = 13,884.16/x
  3. Step 3: Cross multiply
    24,495.16x = 33,801.96 × 13,884.16
  4. Step 4: Simplify right side
    24,495.16x = 469,311,820.95
  5. Step 5: Solve for x
    x = 469,311,820.95/24,495.16
  6. Step 6: Final answer
    x = 19,159.37

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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.