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Finding the Fourth Proportional to 23,775.82, 32,809.89 and 13,020.22

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Solution

The fourth proportional to 23,775.82, 32,809.89 and 13,020.22 is: 17,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.82 : 32,809.89 = 13,020.22 : x
  2. Step 2: Convert to fraction form
    23,775.82/32,809.89 = 13,020.22/x
  3. Step 3: Cross multiply
    23,775.82x = 32,809.89 × 13,020.22
  4. Step 4: Simplify right side
    23,775.82x = 427,191,985.98
  5. Step 5: Solve for x
    x = 427,191,985.98/23,775.82
  6. Step 6: Final answer
    x = 17,967.50

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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.