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Finding the Fourth Proportional to 24,495.77, 33,804.38 and 13,883.42

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Solution

The fourth proportional to 24,495.77, 33,804.38 and 13,883.42 is: 19,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.77 : 33,804.38 = 13,883.42 : x
  2. Step 2: Convert to fraction form
    24,495.77/33,804.38 = 13,883.42/x
  3. Step 3: Cross multiply
    24,495.77x = 33,804.38 × 13,883.42
  4. Step 4: Simplify right side
    24,495.77x = 469,320,405.38
  5. Step 5: Solve for x
    x = 469,320,405.38/24,495.77
  6. Step 6: Final answer
    x = 19,159.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.