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Finding the Fourth Proportional to 25,672.04, 38,509.42 and 7,205.48

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Solution

The fourth proportional to 25,672.04, 38,509.42 and 7,205.48 is: 10,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.04 : 38,509.42 = 7,205.48 : x
  2. Step 2: Convert to fraction form
    25,672.04/38,509.42 = 7,205.48/x
  3. Step 3: Cross multiply
    25,672.04x = 38,509.42 × 7,205.48
  4. Step 4: Simplify right side
    25,672.04x = 277,478,855.62
  5. Step 5: Solve for x
    x = 277,478,855.62/25,672.04
  6. Step 6: Final answer
    x = 10,808.60

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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.