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Finding the Fourth Proportional to 25,732.80, 38,603.52 and 8,201.28

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Solution

The fourth proportional to 25,732.80, 38,603.52 and 8,201.28 is: 12,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.80 : 38,603.52 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    25,732.80/38,603.52 = 8,201.28/x
  3. Step 3: Cross multiply
    25,732.80x = 38,603.52 × 8,201.28
  4. Step 4: Simplify right side
    25,732.80x = 316,598,276.51
  5. Step 5: Solve for x
    x = 316,598,276.51/25,732.80
  6. Step 6: Final answer
    x = 12,303.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.