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Finding the Fourth Proportional to 23,774.67, 32,809.56 and 13,020

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Solution

The fourth proportional to 23,774.67, 32,809.56 and 13,020 is: 17,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.67 : 32,809.56 = 13,020 : x
  2. Step 2: Convert to fraction form
    23,774.67/32,809.56 = 13,020/x
  3. Step 3: Cross multiply
    23,774.67x = 32,809.56 × 13,020
  4. Step 4: Simplify right side
    23,774.67x = 427,180,471.20
  5. Step 5: Solve for x
    x = 427,180,471.20/23,774.67
  6. Step 6: Final answer
    x = 17,967.88

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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.