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Finding the Fourth Proportional to 42,396.75, 63,596.34 and 11,232

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Solution

The fourth proportional to 42,396.75, 63,596.34 and 11,232 is: 16,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,396.75 : 63,596.34 = 11,232 : x
  2. Step 2: Convert to fraction form
    42,396.75/63,596.34 = 11,232/x
  3. Step 3: Cross multiply
    42,396.75x = 63,596.34 × 11,232
  4. Step 4: Simplify right side
    42,396.75x = 714,314,090.88
  5. Step 5: Solve for x
    x = 714,314,090.88/42,396.75
  6. Step 6: Final answer
    x = 16,848.32

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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.