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Finding the Fourth Proportional to 23,827.82, 32,881.88 and 13,217.22

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Solution

The fourth proportional to 23,827.82, 32,881.88 and 13,217.22 is: 18,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.82 : 32,881.88 = 13,217.22 : x
  2. Step 2: Convert to fraction form
    23,827.82/32,881.88 = 13,217.22/x
  3. Step 3: Cross multiply
    23,827.82x = 32,881.88 × 13,217.22
  4. Step 4: Simplify right side
    23,827.82x = 434,607,075.02
  5. Step 5: Solve for x
    x = 434,607,075.02/23,827.82
  6. Step 6: Final answer
    x = 18,239.49

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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.