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Finding the Fourth Proportional to 24,017.51, 33,142.79 and 13,407.82

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Solution

The fourth proportional to 24,017.51, 33,142.79 and 13,407.82 is: 18,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.51 : 33,142.79 = 13,407.82 : x
  2. Step 2: Convert to fraction form
    24,017.51/33,142.79 = 13,407.82/x
  3. Step 3: Cross multiply
    24,017.51x = 33,142.79 × 13,407.82
  4. Step 4: Simplify right side
    24,017.51x = 444,372,513.28
  5. Step 5: Solve for x
    x = 444,372,513.28/24,017.51
  6. Step 6: Final answer
    x = 18,502.02

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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.