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Finding the Fourth Proportional to 25,176.02, 37,764.15 and 7,646

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Solution

The fourth proportional to 25,176.02, 37,764.15 and 7,646 is: 11,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.02 : 37,764.15 = 7,646 : x
  2. Step 2: Convert to fraction form
    25,176.02/37,764.15 = 7,646/x
  3. Step 3: Cross multiply
    25,176.02x = 37,764.15 × 7,646
  4. Step 4: Simplify right side
    25,176.02x = 288,744,690.90
  5. Step 5: Solve for x
    x = 288,744,690.90/25,176.02
  6. Step 6: Final answer
    x = 11,469.04

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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.