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Finding the Fourth Proportional to 23,408.25, 32,303.82 and 12,798.24

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Solution

The fourth proportional to 23,408.25, 32,303.82 and 12,798.24 is: 17,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.25 : 32,303.82 = 12,798.24 : x
  2. Step 2: Convert to fraction form
    23,408.25/32,303.82 = 12,798.24/x
  3. Step 3: Cross multiply
    23,408.25x = 32,303.82 × 12,798.24
  4. Step 4: Simplify right side
    23,408.25x = 413,432,041.28
  5. Step 5: Solve for x
    x = 413,432,041.28/23,408.25
  6. Step 6: Final answer
    x = 17,661.81

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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.