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Finding the Fourth Proportional to 23,209.98, 32,029.74 and 13,138.24

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Solution

The fourth proportional to 23,209.98, 32,029.74 and 13,138.24 is: 18,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.98 : 32,029.74 = 13,138.24 : x
  2. Step 2: Convert to fraction form
    23,209.98/32,029.74 = 13,138.24/x
  3. Step 3: Cross multiply
    23,209.98x = 32,029.74 × 13,138.24
  4. Step 4: Simplify right side
    23,209.98x = 420,814,411.26
  5. Step 5: Solve for x
    x = 420,814,411.26/23,209.98
  6. Step 6: Final answer
    x = 18,130.75

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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.