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Finding the Fourth Proportional to 25,232.46, 37,852.85 and 7,698.20

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Solution

The fourth proportional to 25,232.46, 37,852.85 and 7,698.20 is: 11,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.46 : 37,852.85 = 7,698.20 : x
  2. Step 2: Convert to fraction form
    25,232.46/37,852.85 = 7,698.20/x
  3. Step 3: Cross multiply
    25,232.46x = 37,852.85 × 7,698.20
  4. Step 4: Simplify right side
    25,232.46x = 291,398,582.11
  5. Step 5: Solve for x
    x = 291,398,582.11/25,232.46
  6. Step 6: Final answer
    x = 11,548.56

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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.