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Finding the Fourth Proportional to 34,817.12, 52,232.16 and 11,445.20

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Solution

The fourth proportional to 34,817.12, 52,232.16 and 11,445.20 is: 17,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,817.12 : 52,232.16 = 11,445.20 : x
  2. Step 2: Convert to fraction form
    34,817.12/52,232.16 = 11,445.20/x
  3. Step 3: Cross multiply
    34,817.12x = 52,232.16 × 11,445.20
  4. Step 4: Simplify right side
    34,817.12x = 597,807,517.63
  5. Step 5: Solve for x
    x = 597,807,517.63/34,817.12
  6. Step 6: Final answer
    x = 17,169.93

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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.