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Finding the Fourth Proportional to 24,403.41, 33,676.47 and 13,648.16

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Solution

The fourth proportional to 24,403.41, 33,676.47 and 13,648.16 is: 18,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.41 : 33,676.47 = 13,648.16 : x
  2. Step 2: Convert to fraction form
    24,403.41/33,676.47 = 13,648.16/x
  3. Step 3: Cross multiply
    24,403.41x = 33,676.47 × 13,648.16
  4. Step 4: Simplify right side
    24,403.41x = 459,621,682.41
  5. Step 5: Solve for x
    x = 459,621,682.41/24,403.41
  6. Step 6: Final answer
    x = 18,834.32

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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.