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Finding the Fourth Proportional to 23,772.29, 32,806.25 and 13,017.61

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Solution

The fourth proportional to 23,772.29, 32,806.25 and 13,017.61 is: 17,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.29 : 32,806.25 = 13,017.61 : x
  2. Step 2: Convert to fraction form
    23,772.29/32,806.25 = 13,017.61/x
  3. Step 3: Cross multiply
    23,772.29x = 32,806.25 × 13,017.61
  4. Step 4: Simplify right side
    23,772.29x = 427,058,968.06
  5. Step 5: Solve for x
    x = 427,058,968.06/23,772.29
  6. Step 6: Final answer
    x = 17,964.57

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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.