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Finding the Fourth Proportional to 23,567.98, 32,519.16 and 13,220.07

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Solution

The fourth proportional to 23,567.98, 32,519.16 and 13,220.07 is: 18,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.98 : 32,519.16 = 13,220.07 : x
  2. Step 2: Convert to fraction form
    23,567.98/32,519.16 = 13,220.07/x
  3. Step 3: Cross multiply
    23,567.98x = 32,519.16 × 13,220.07
  4. Step 4: Simplify right side
    23,567.98x = 429,905,701.48
  5. Step 5: Solve for x
    x = 429,905,701.48/23,567.98
  6. Step 6: Final answer
    x = 18,241.09

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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.