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Finding the Fourth Proportional to 23,865.28, 32,935.08 and 13,255

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Solution

The fourth proportional to 23,865.28, 32,935.08 and 13,255 is: 18,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.28 : 32,935.08 = 13,255 : x
  2. Step 2: Convert to fraction form
    23,865.28/32,935.08 = 13,255/x
  3. Step 3: Cross multiply
    23,865.28x = 32,935.08 × 13,255
  4. Step 4: Simplify right side
    23,865.28x = 436,554,485.40
  5. Step 5: Solve for x
    x = 436,554,485.40/23,865.28
  6. Step 6: Final answer
    x = 18,292.45

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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.