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Finding the Fourth Proportional to 18,648.56, 25,735.02 and 10,265

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Solution

The fourth proportional to 18,648.56, 25,735.02 and 10,265 is: 14,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.56 : 25,735.02 = 10,265 : x
  2. Step 2: Convert to fraction form
    18,648.56/25,735.02 = 10,265/x
  3. Step 3: Cross multiply
    18,648.56x = 25,735.02 × 10,265
  4. Step 4: Simplify right side
    18,648.56x = 264,169,980.30
  5. Step 5: Solve for x
    x = 264,169,980.30/18,648.56
  6. Step 6: Final answer
    x = 14,165.70

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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.