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Finding the Fourth Proportional to 25,450.02, 38,175.71 and 9,652.10

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Solution

The fourth proportional to 25,450.02, 38,175.71 and 9,652.10 is: 14,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450.02 : 38,175.71 = 9,652.10 : x
  2. Step 2: Convert to fraction form
    25,450.02/38,175.71 = 9,652.10/x
  3. Step 3: Cross multiply
    25,450.02x = 38,175.71 × 9,652.10
  4. Step 4: Simplify right side
    25,450.02x = 368,475,843.74
  5. Step 5: Solve for x
    x = 368,475,843.74/25,450.02
  6. Step 6: Final answer
    x = 14,478.41

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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.